What is elimination method example?

Answers

Answer 1

The elimination method is used for solving linear equations. Here we make use of the addition property of equality, that is when same number is added on both sides of equation, it still remains equal.

Lets look into some examples.

 Example 1

     x + y = 10  

      x - y = 2

By adding both equations,

     x + y + x - y = 10 + 2

 + y and - y are cancelled or y term is eliminated.

      2x = 12

       x  = 6

Example 2

     2x + 3y = 10

   -3x + 3y  = 15

Here to eliminate y, we have to add the additive inverse of second equation.

  2x + 3y + 3x - 3y = 10-15

    5x = -5

      x = -1

Example 3

   x + 4y = 5

   3x - y = 2

To equalize the y term we multiply the second equation by 4

   12x - 4y = 8

Adding both equations,

x + 4y + 12x - 4y = 5 + 8

13x = 13

x = 1

So elimination method is used for solving linear equations.

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Related Questions

x + y = 3



Which of the following equations is equivalent to the given equation?

3x + 2y = 18
2x + 3y = 18
3x + 2y = 3

Answers

The equation equivalent to the equation x + y = 3 is 6x + 6y = 18.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x + y = 3

Multiply 6 on both sides.

6x + 6y = 18

Thus,

The equation that is equivalent is 6x + 6y = 18.

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aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2. Aleris can spend no more than $24 on the gift. write an inequality that describes the situation

Answers

The inequality when apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift is 3a + 2o ≤ 24.

How to illustrate the inequality?

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

In this case, Aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift.

Let apple = a

Let orange = o

Therefore, the inequality will be:

3a + 2o ≤ 24.

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50 points help me out

Answers

Answer:x=20

Step-by-step explanation: <2 and <3 must be equal, so set 3x-10 equal to x+30, once simplified you get x equal to 20.

Answer:

x = 20

Step-by-step explanation:

Angle 2 and 3 are alternate (interior) angles which means that they are equivalent to each other.

3x-10=x+30

-x       -x

2x-10=30

  +10  +10

2x=40

x=20

3x-3y=-6

3x+y=10 use subtraction please help thank you
need an ordered pair

Answers

Answer:

x=2, y=4. (2, 4).

Step-by-step explanation:

3x-3y=-6 implies 3(x-y)=3(-2), so x-y=-2.

-----------------------------

x-y=-2

3x+y=10

---------------

4x=8

x=8/4=2

2-y=-2

y=2-(-2)=2+2=4

is this right?? this assignment is graded and no links!!

Answers

yes u are bc 6x7=42 and then 3x6=18 18/2= 9 9+42=51
Yes 7x6 = 42 and 3x6/2 = 9 so 42+9 = 51

Find the volume of the triangular pyramid.

A. 192 cubic inches

B. 128 cubic inches

C. 24 cubic inches

D. 64 cubic inches

Answers

Answer:

im pretty sure its d

Step-by-step explanation:

Identifying Characteristics of an Exponential Function
Consider the function f(x) = (6). What is the value of the growth factor of the function?
02
06
O 18

Answers

Answer:

6

Step-by-step explanation:

The growth factor is the number that is raised to an exponent.

Answer: 6

Out of 30 students surveyed, 17 have a dog. based on these results, predict how many of the 300 students in the school have a dog?

Answers

Answer: 170 students

1. Use the proportion 17/30 = x/300 to find the answer

2. Cross multiply
30x = 5100, which can also be written as 3x = 510 because they both have at least 1 zero and 0/0 cancels out.

3. Divide both sides by 3 to get the variable alone
X = 3x/3 = 510/3

4. Simplify
X = 170

The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p= -1/7x+200. A) Find a model that expresses the revenue R as a function of x. (Remember, R= xp). R(x)=____ B) What is the domain of R? C) What is the revenue if 200 units are sold? D) What quantity maximizes revenue? What is maximum revenue? E) What price should the company charge to maximize revenue?

Answers

A) The model that expresses the revenue R as a function of x is R(X) = -1/7x + 200

B) The domain of R is (-∞, +∞)

C) If 200 units are sold, then the revenue is $228.57

D) The quantity that maximizes revenue is 200 and the maximum revenue is $228.57

E) The price should the company charge to maximize revenue $228.57

Here we have given the function that can be model  that expresses the revenue R as a function of x is written as,

=> R(X) = -1/7x + 200

Here the domain value of R has take the value from negative infinity to positive infinity.

When we take the value of x as 200, then the revenues of the sold goods is calculated as,

=> R(200) = -1/7 (200) + 200

When we simplify this one then we get the value of R as

=> R = 28.57 + 200

=> R = 228.57

As per the given function the maximum number of units sold is written as 200, and the maximum revenue is written as 228.57

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Is the first side “LM and HG” or the other way around?

Answers

Step-by-step explanation:

Since there is one tick, use LM and HG. but in some cases it doesnt matter

What is the volume of a rectangular prism with a length of 2 inches, a width of 1 inch, and a height of One-half inch?
One-half inches cubed
1 inch cubed
2 inches cubed
3 and one-half inches cubed

Answers

Answer:

The volume of the rectangular prism is 1 inch.

Step-by-step explanation:

Volume is LxWxH so it would be
2 x 1 x 1/2
Which is 1

Answer:

1

Step-by-step explanation:

did it

A diagonal of a polyhedron is a line segment connecting two non-adjacent vertices. How many diagonals does a pentagonal prism have

Answers

A pentagonal prism have 35 diagonals.

We know tha in a polygon or polyhedron the formula for finding the number of diagonals is: n(n-3)/2,

where n= the number of sides

We find the number of diagonals of a pentagonal prism.

As we know a pentagonal prism has two pentagonal bases like top and bottom and five rectangular sides.

For a pentagonal prism n = 10

So, using above formula the total number of diagonals would be,

d = [10 × (10 - 3)] / 2

d = (10 × 7) / 2

d = 70/2

d = 35

Therefore, the total number of diagonals would be = 35

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Please help
Find the value of x
Find the measure of the two marked angles

PLEASE ALSO FIND X

(Mathematics)

Answers

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

what is alternate exterior angles?

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -When two parallel lines cross one other, the horizontal line is divided into two angles. Interior angles develop between the parallel lines, whereas alternative outside angles develop outside the parallel lines.

1 - A

2 - C

3 - B

4 - D

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for each meal, Jeffrey eats either toast, cereal, or pancakes. How many different ways can Jeffrey choose his three meals for the day? PLSS HELP ASAP RN!

Answers

6 ways, (tcp), (tpc), (ptc), (pct), (ctp), (cpt)

Answer:

27

Step-by-step explanation:

Jeffrey has three choices for breakfast: toast, cereal, or pancakes. Then, he has three choices for lunch: toast, cereal, or pancakes. Finally, he has three choices for dinner: toast, cereal, or pancakes.

Putting these together, Jeffrey has 3 * 3 * 3 = 27 possible ways to select the three meals.

In the figure below, AB is a diameter of circle P.
What is the arc measure of minor arc AD in degrees?

Answers

Answer:

D

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Work out the equation of the straight line
shown below.
Give your answer in the form y = mx + C,
where m and c are integers or fractions in
their simplest forms.
Y
6
5
4
3
2-
1
-6 -5 -4 -3 -2 -1 0
-14
-2-
-3+
-4-
-5-
-6-
1 2 3 4 5 6
X

Answers

Where m and c are integers or fractions, the equation of a straight line in the form of y = mx + c becomes y = x/2 + 8.

What is a straight line?

A straight line is made up of many points connected at each end. Any straight line's slope, m, is determined by the formula. The slope-intercept formulation of a linear equation is y = mx + b. The equation's variables are X and Y. The slope of the line (m) and the value of y when x is 0 are represented by the values m and b, respectively.

[tex]m = \frac{y2-y1}{x2 - x1}[/tex]

given

the graph is,(0,8) and (9,2)

The slope of the line is,

m = 1/2

Because it crosses the y-axis at the point where the intercept C is equal to 8,

The equation of the line will be :

⇒ y = mx + c

⇒ y = (1/2)x + (8)

⇒ y = x/2 + 8

Where m and c are integers or fractions, the equation of a straight line in the form of y = mx + c becomes y = x/2 + 8.

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What is the inverse of +5?

Answers

The inverse of +5 as calculated is found to be +1 / 5.

To find the inverse of +5 we can simply reciprocate it and the result will be the required answer.

reciprocal of +5 = 1 / 5.

Therefore, the answer is 1 / 5.

The opposite or reciprocal of a number or term in math is known as it's inverse. There are two types of inverse in math, the additive inverse and the multiplicative inverse.

The multiplicative inverse of a number for any n is given as 1/n.  It is also called as the reciprocal of a number and 1 is called the multiplicative identity. On the other hand subtraction is the inverse of addition.

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the equation t=s/5 gives the number of cups pf tomatoes,t,required per cup of salad,is. what is the constant of proportionality

Answers

The given equation t = s/5 represents a proportional relationship and the value of the constant of proportionality is 1/5.

What is the constant of proportionality?

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

Proportional relationships are written in the form y = kx

where k is the constant of proportionality.

The given equation below which is given in the question:

t = s/5

The above equation represents a proportional relationship.

According to the given question, k = 1/5 so the answer is 1/5.

Thus, the value of the constant of proportionality is 1/5.

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6. If ON = x^2 - 10, LM = -2x + 5, NM = 3x + 21 and OL = 4y + 18, find the values of x and y
given that LMNO is a parallelogram.
(show work)

Answers

Given that ON = [tex]x^{2}[/tex] - 10; LM = -2x + 5; NM = 3x + 21; and OL = 4y + 18; with x and y values of [tex]\sqrt{10}[/tex] and -4.5, respectively.

What is the values of x and y ?

ON = [tex]x^{2}[/tex] - 10 ⇒  [tex]x^2[/tex] = 10 ⇒ x =[tex]\sqrt{10}[/tex]

OL = 4y + 18 ⇒ 4y =-18 ⇒ y = -18/4 ⇒ -4.5 .

The issue at hand is here A parallelogram of O N M L is nm. Suppose   ON = [tex]x^{2}[/tex] - 10 or LM = -2x + 5. Here, we must determine what X's value is. then look up N M N O L. Due to the parallelogram shape of ONA male, there are four.

Since N M is equal to the opposing sides of a parallelogram and an e parallelogram, we can express that as follows. due to the parallelogram's equal opposite sides. We can therefore write [tex]x^{2}[/tex] - 10 where N M = O L. that is four, -2x + 5, and. Change the two sides of the equation, then write four. Nine times X is equivalent to [tex]x^{2}[/tex] - 10.

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15. At what rate per cent of interest will a sum of money become 6 times itself in
15 years?​

Answers

Answer:

The rate of interest will be 40%

Step-by-step explanation:

So first consider the principal to be x

Then the SI (Simple interest) will become six times of itself that is 6x

The time is 15 years

Rate = SI × 100 / P × T

Now put the values

Rate = 6 × x × 100 / x × 15

Then after simplifying the rate will come 40 %

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

24/25

Step-by-step explanation:

Please see the attached image.

The cosine of an angle is the adjacent side relative to that angle over the hypotenuse.

Answer: 24/25

Derek is cutting a piece of plywood into the shape of a triangle to use as part of a set for a school play. How should the triangle be classified? 50° 90° 40° O A. right, isosceles B. right, scalene C. acute, scalene о O D. obtuse, isosceles​

Answers

Answer:

C.58.3

Step-by-step explanation:

Im pretty sure im right

5d = 30 i cant find the answer

Answers

Answer:

d=6

Step-by-step explanation:

divide 30 by 5 to get the value of d

Answer:

Hey again d = 6

Step-by-step explanation:

5 × 6 = 30 therefore d = 6 HOPE THAT HELPS!

pls help me what is the equation for this graph pls get it right :)

Answers

Answer: Y= 1/8x -2

Step-by-step explanation:

Y = mx+ b

Slope = y2-y1/x2-x1 = -1+2 / 8-0 = 1/8

Initial Y-Value = -2

The answer is I love you

please help with this question

Answers

Answer:

211

Step-by-step explanation:

Considering c as center and WZ is a straight line with 180 degrees

the measure of XWZ is equal to 211

rewrite in Y = MX +b form show your work -6x+2y=10

Answers

Answer:

answer y= 3x +5

Step-by-step explanation:

-6x+2y=10

we need to get y by itself so move the -6x to the other side

you get

2y=6x+10

divide everything by 2

2y/2=6x/2+10/2

y= 3x+5

1.) isolate y
2.) divide both sides by 2 to get y by itself.

Find the surface area of a cylinder that has a radius of 5.5 m and a height of 15 m.

Answers

Answer:

the Total surface area is your answer. it is 708.4 meters squared.

Step-by-step explanation:

see answer above.

6 and 18/54 simplified​

Answers

Both the numerator and denominator are divisible by 18 so you’d get 6 1/3

At the opening session of the United States Supreme Court, each justice shakes hands with all the others. There are nine justices that sit on the Supreme Court. How many handshakes do they make during the opening session

Answers

According to probability, total number of handshakes will be 36.

How many handshakes are possible?

Handshakes equal n * (n - 1)/2. This is the case because a handshake between two people is not counted twice and each of the n people can shake hands with n - 1 people (they wouldn't shake their own hand). Any number of people can be calculated using this formula.

The first person will need to shake eight (8) people's hands. Only seven (7) hands will need to be shook by the second person because the first handshake will not be repeated. Due to the same factors as mentioned above, only six (6) people will require a handshake from the third person. This continues until the final person has no one left to shake hands with because everyone has already done so.

The formula to calculate how many handshakes were exchanged is n = 8 + 7 + 6 +... + 1 = 36.

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For triangle ABC use the Triangle Proportionality Theorem to solve for x

1. what is the value of x?

2. What is the perimeter of triangle ABC?

show ALL work-- PLEASE HELP!

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here's the solution ~

The two triangles in the shown figure are similar, therefore conclusion can be made that :

Ratio of its it's corresponding sides is equal.

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2x - 4 + 6}{6} = \dfrac{24}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2x + 2}{6} = 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 2 = 6 \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 2 = 36[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x = 36 - 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x = 34[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 17[/tex]

Therefore, The value of x is " 17 "

Now, the measure of side BC is :

[tex]\qquad \sf  \dashrightarrow \: 2x - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 (17) - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 34 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 30 \: \: units[/tex]

So, its perimeter will be :

[tex]\qquad \sf  \dashrightarrow \: p = AB + AB + BC [/tex]

[tex]\qquad \sf  \dashrightarrow \: p = 24 + 26 + 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: p = 80 \: \: units[/tex]

Answer:

1) x = 17,2) P = 86 units.

------------------------------------

Part 1

According to Triangle Proportionality Theorem we have the following equal proportions:

(24 - 4)/4 = (2x - 4)/620/4 = (x - 2)/35 = (x - 2)/3x - 2 = 5*3x - 2 = 15x = 17

Part 2

The missing side is:

BC = 6 + 5*6 = 6 + 30 = 36 units

The perimeter is:

P = 24 + 36 + 26 = 86 units
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