How do you solve systems by substitution step by step?

Answers

Answer 1

Answer:

1.Solve one of the equations for either variable.

2.Substitute the expression from Step 1 into the other equation.

3.Solve the resulting equation.

4.Substitute the solution in Step 3 into one of the original equations to find the other variable.

5.Write the solution as an ordered pair.

6.Check that the ordered pair is a solution to both original equations.

Step-by-step explanation:


Related Questions

Twelve eggs cost $2.04. How much will 18 eggs cost

Answers

Answer: $3.06

Step-by-step explanation: In order to get $3.06, you will have to find half $2.04 and then add that number to the price of 12 eggs.

How many pounds of walnuts that cost $0.80 per pound must be mixed
with 8 pounds of cashews that costs $1.25 per pound to make a mixture of
nuts that costs $1.00 per pound?

Answers

Answer:

kt 5.20 yes

Step-by-step explanation:

5.20

Step-by-step explanation:

**10 POINTS** probablitly for math

Answers

20 I think I’m not sure

During his first 20 picks from a bag of marbles, Mark chose 8 yellow marbles, 9 green marbles, and 3 blue marbles. What is the experimental probability that Mark will choose a green marble on his next pick?

please show work

Answers

Answer:

to solve this problem you have to take 9 over 20 (by assuming replacing the marbles)

9/20 is the experimental probability for a green marble to be picked

9/20 = 45%

Find Arc measure of ABC

Answers

Answer:

268°

Step-by-step explanation:

[tex] In\: \odot O, [/tex] AB is diameter.

So, [tex] \widehat{AB} \:\&\: \widehat {BA}[/tex] are semicircular arcs.

[tex] \therefore m\widehat {AB} =m\widehat {BA} = 180\degree [/tex]

[tex] \because \: m\widehat {BC} = m\widehat {BA} - m\widehat {CA} [/tex]

[tex] \therefore \: m\widehat {BC} = (180-92)\degree [/tex]

[tex] \therefore \: m\widehat {BC} =88\degree [/tex]

[tex] \because m\widehat {ABC} = m\widehat {AB}+m\widehat {BC} [/tex]

[tex] \therefore m\widehat {ABC} = 180\degree+88\degree [/tex]

[tex] \therefore m\widehat {ABC} = 268\degree [/tex]

(#7) A cube has an edge length given by the variable “s” as shown. It’s surface area and volume can be given in terms of the edge length by: surface area= 6s^2 volume= s^3 Find the ratio of the surface area to the volume in simplest terms of “s”.

Answers

The ratio of surface area to volume is 6:s

What is a cube?

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Given that, A cube has an edge length given by the variable “s”. It’s surface area and volume can be given in terms of the edge length by: surface area= 6s² volume= s³

The ratio = 6s² / s³

= 6 / s

Hence, the required ratio is 6:s

For more references on cube, click;

https://brainly.com/question/28134860

#SPJ1

The rectangular floor of a classroom is 24 feet in length and 40 feet in width. A scale drawing of the floor has a length of 6 inches. What is the area, in square inches, of the floor in the scale drawing?


HURRY! :D

Answers

The area of the floor in the scale drawing is 60 inches².

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Actual rectangle:

Length = 24 feet

Width = 40 feet

Scale rectangle:

Length = 6 inches

Width = 40/4 = 10 inches

The area of the scaled rectangle.

= Length x Width

= 6 x 10

= 60 inches²

Thus,

The area of the scaled rectangle is 60 inches².

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

Need help with this triangle measure please.
I also need explanation. Thank you-----

Answers

Same here I need this question to 126. A c d

one number exceeds another by 4 and their sum is 26.find them with proper language and process.​

Answers

Answer:

15 and 11

Step-by-step explanation:

First find an equation that represents this scenario.

26 = n + (n-4) works, because the sum (26) is equal to the number (n) plus the number minus 4, which is the other number.

To find both numbers, solve for n:

26 = n + (n - 4)

First, combine like terms.

26 = 2n - 4

Then, add 4 to both sides

30 = 2n

Then divide both sides by 2.

15 = n.

So the number is 15, and the other number is 15-4, which is 11.

HELP In circle J with m∠HJK=126 and HJ=14 units, find the length of arc HK. Round to the nearest hundredth.

Answers

Answer: 39.79

Step-by-step explanation:

126/360 (2pi14)

The table lists recommended amounts of food to order for party guests. And are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering​ purposes, they will count each of these​ "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with ​drop-in guests?

Answers

To calculate the amount of food to order for the graduation party with drop-in guests, you should multiply the number of "full" guests, which is 40 + x/2, by the recommended amounts listed in the table.

To calculate the amount of food to order for the graduation party, you need to take into account the number of guests and the recommended amounts listed on the table. Since the party is for 40 guests and there will also be "drop-in" guests, you need to convert these guests into an equivalent number of "full" guests. To do this, you can divide the number of drop-in guests by 2.

So if there are x drop-in guests, the number of "full" guests will be 40 + x/2.

Now you can use this number of "full" guests to calculate how much of each food item to order. For example, if the table recommends 1/4 lb of meat per guest, you would order (40 + x/2) × 1/4 lb = 10 + x/8 lb of meat.

To learn more about cost at

https://brainly.com/question/29281548?referrer=searchResults

#SPJ4

The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. What percent of the variation in the number of yearly boaters can be explained by differences in lake sizes

Answers

Answer:

55.2049%

Step-by-step explanation:

R², the coefficient of determination, is the proportion of the variation in the dependent variable that is predictable from the independent variable.

In this case, if we square our correlation coefficent r=0.743, we get R²=0.552049, which means that 55.2049% of the variation in the number of yearly boaters can be explained by differences in lake sizes

Someone please help me

Answers

It’s A
Because the line of the graph is only going on 3, they are all positive 3 and the equation what x = 3.which mean they are all equal.

Write with a single exponent:

Answers

Answer:

10^-3

10^-7

10^-8

10^-9

10^-6

Step-by-step explanation:

mark me brainliest pls

How do you find the missing side of a 30 60 90 triangle?

Answers

A 30-60-90 triangle is a right triangle where the three interior angles are 30°, 60°, and 90°.

Let, the shorter leg of a 30 60 90 triangle is equal to a. Then:

The second leg is equal to a√3;The hypotenuse is 2a;The area is equal to a²√3/2; andThe perimeter equals a(3 + √3).

If we know the shorter leg length, we can find out that:

Longer leg= √3 times of shorter leghypotenuse= twice the shorter leg

In the 30 60 90 triangles :

For angles, the ratio is 1:2:3 (30°: 60°: 90°)For sides, the ratio is 1 : √3: 2

Read more about the right triangle:

https://brainly.com/question/2437195

#SPJ4

DE is parallel to AC. Find the lengths of AC and AD. FAST!!!

Answers

Answer:

we have:

∆BDE is similar to ∆BAC

so their side are proportional :

BD/BD=BE/BC

2/BD=4/(6+4)

BD=2×10/4

BD=5

again

BE/BC=DE/AC

4/10=5/AC

AC=5×10/4

AC=25/2

Now,

AC=25/2 or 12.5.

AD=BA-BD=5-2=3.

is your answer.

Answer:

AC = 12.5, AD = 3

Step-by-step explanation:

A line parallel to a side of a triangle and intersecting the other 2 sides, divides those sides proportionally, that is

[tex]\frac{BD}{BE}[/tex] = [tex]\frac{AD}{CE}[/tex] , substitute values

[tex]\frac{2}{4}[/tex] = [tex]\frac{AD}{6}[/tex] ( cross- multiply )

4 AD = 12 ( divide both sides by 4 )

AD = 3

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

Δ BDE and Δ BAC are similar, so the ratios of corresponding sides are equal, that is

[tex]\frac{DE}{AC}[/tex] = [tex]\frac{BD}{BA}[/tex] , substitute values

[tex]\frac{5}{AC}[/tex] = [tex]\frac{2}{5}[/tex] ( cross- multiply )

2 AC = 25 ( divide oth sides by 2 )

AC = 12.5

PLS HELP FAST IM BEING TIMED!!!
An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?
A number line going from 80 to 91. A solid circle is at 88. Everything to the left of the circle is shaded.
A number line going from 80 to 91. An open circle is at 88. Everything to the left of the circle is shaded.
A number line going from 80 to 91. An open circle is at 87. Everything to the right of the circle is shaded.
A number line going from 80 to 91. A closed circle is at 87. Everything to the right of the circle is shaded.

Answers

Answer:

C

Step-by-step explanation:

hope it helps

Answer:

The answer is C

Step-by-step explanation:

I keep seeing people put c so i am pretty sure that right

PLS HELP ME I ONLY HAV 2 MINS PLSSSSS

Answers

Answer:

- 8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

3x(x+x)−6x^2+2^2−12

=6x^2+−6x^2+4+−12

Combine Like Terms:

=6x^2+−6x^2+4+−12

=(6x^2+−6^2)+(4+−12)

=−8

The Yellow Cab Company charges just $1.25 per mile, but it costs $6.00 to get in the cab. Express Cab charges no fee to get in the cab, but $2.00 per mile for the ride. For what number of miles is the cost the same?

Answers

Answer: 8 miles

Step-by-step explanation:

1.25m+6=2m

--1.25m. -1.25m

6=.75

6/.75m=8 mile

s

What is the value of sin cos theta?

Answers

If sinθ⋅cosθ = 1/2, then the value of sinθ + cosθ = √2

We know that the trigonometric sine function is nothinng but the ratio of the length of the opposite side of angle to that of the hypotenuse in a right triangle.

And cosine function (cos function) is the ratio of the length of the adjacent side of angle to that of the hypotenuse.

Given that  sinθ⋅cosθ = 1/2

2(sinθ⋅cosθ) = 1             .........(1)

We know that trigonometric identity,

sin(2θ) = 2 sinθ cosθ

so equation (1) becomes,

sin(2θ) = 1            

We know that sin(π/2) = 1

Comparing with equation sin(2θ) = 1 we get,

2θ = π/2

θ = π/4          

Using trigonometric table,

sin(π/4) = 1/√2

and cos(π/4) = 1/√2

The value of  sinθ+cosθ would be,

sin(π/4) + cos(π/4)

= (1/√2) + (1/√2)

= 2/√2

= √2

Learn more about equation here:

https://brainly.com/question/649785

#SPJ4

The complete question is:

If sinθ⋅cosθ=1/2 find the value of sinθ+cosθ

52 > 43 + w

is it a solution?
7 yes or no
4 yes or no
13 yes or no
9 yes or no

Answers

Hopes this helps

Answer: w < 9 yes

Please mark as brainlist

What is the volume of Hannah's suitcase in cubic inches?

Answers

The volume of Hannah's suitcase in cubic inches is: C: 7938.

How to find the volume?

The volume can be determine using this formula

Volume = Length × Width × Depth

Where:

Length = 27 inches

Width = 21 inches

Depth = 14 inches

Let plug in the formula

Volume = 27 inches × 21 inches × 14 inches

Volume = 7,938

Therefore we can conclude that the volume is 7,938.

Learn more about volume here:https://brainly.com/question/1972490

#SPJ1

what is the volume i’m cubic inches of the rectangular prism below

Answers

Answer:

The answer would be D!

Step-by-step explanation:

Tell me if i'm wrong

Find the area of the figure.
8ft
8ft
6 ft
12 ft
10 ft

Answers

Answer:

46080

Step-by-step explanation:

multiply all of them

Answer: might be 150 sq ft if the problem is of the irregular figure

help me i been stuck for like a good 20 min

Answers

[tex]4(x+7) \leqslant 4(2x+8)\implies 4x+28\leqslant 8x+32\implies 28\leqslant 4x+32 \\\\\\ -4\leqslant 4x\implies \cfrac{-4}{4}\leqslant x\implies \boxed{-1\leqslant x}[/tex]

notice, in the division by "4" we didn't flip the inequality sign, because the division was by a positive value, we only flip it when the division involves a negative value.

if you do 44 push ups in 4 minutes how many will he do in 5 minutes ​

Answers

Answer:

55

Step-by-step explanation: i think

Answer:

Step-by-step explanation:

it would be 55 because he does 11 each minute.

find the volume of this cone. round to the nearest tenth. 15 m 5 m

Answers

Answer:

[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {5}^{2} \times 15 \\ = 392.5 \: {m}^{3} [/tex]

3x^2+7x=30______________

Answers

(Hint)

by using quadratic formula we can find the value of x

3x^2+7x-30

a=3

b=7

c=-30

Jenny has red and white balloons. she inflates 2 red balloons for every 3 inflated white balloons. Jenny wants 20 red balloons inflated. How many total balloons will be inflated if jenny inflates the required white balloons

Answers

Answer:

50

Step-by-step explanation:

2*10=20 red

3*10=30 white

20+30=50      

Answer:

50

Step-by-step explanation:

the ratio is 2:3

so every if she inflates 20 red she inflates 30 white

30 + 20 is 50

Find an ordered pair (x,y) that is a solution to the equation.
x-3y=9
(x,y)= ?

Answers

Answer:

(9,-3)

Step-by-step explanation:

Other Questions
Can somebody help me please Acellus A steel pipe measures 62. 95 feet. How many kilometers is this? ? ] km Be sure to round your answer to the correct number of significant figures. Length in km Enter The fact that quasars can be detected from distances where even the biggest and most luminous galaxies cannot be seen means that Select one: A. they must be in directions where intergalactic absorption by dark matter is minimum, allowing us to see them. B. they must be intrinsically far more luminous than the brightest galaxies. C. they have not been as redshifted by their motion as have galaxies, and hence they can still be seen. D. they must be in directions where gravitational focusing by the masses of nearer galaxies makes them visible from Earth. What is the purpose of using variables in programming?O To calculate equationsO To define functionsO To print statementsO To store string values what is the energy of a photon of yellow light with a frequency of 5.2 x 10 Hz? American Indian attacks on the Oregon Trail were1.) more common than2.) less common than3.) the same ason the Santa Fe Trail. What are the top three characteristics of an effective presenter Why are these characteristics so important? Identify one exterior angle.Help please Nebula Inc. is an American smartphone manufacturer that sells smartphones in 36 countries across the globe. Nebula makes both low-end and high-end smartphones to cater to the needs of different markets across the world. There is a high demand for Nebula's low-end smartphones chiefly in developing nations. Its high-end smartphones have buyers mostly in developed nations. One of the challenges that Nebula faces is planning its sales strategy to suit different markets. Given this information, it can be said that Nebula's smartphones are an example of _____. 27. Francis bought two dresses and one pair of shoes for $70.50, before tax. The shoes cost $15.00 more than one dress. How much did the pair of shoes cost? You would like to implement the rule of thirds to present high-resolution images in an IT scrapbook. The scrapbook includes images of computer and other IT devices. How can you do this for the scrapbook What is the purpose of accentuating a musical note in an unexpected place in a piece of music?OAto stress on certain words to impart a sense of importanceO B.to complement or support the musical compositionO c conveys happiness, enthusiasm and excitementD.adds an element of surprise and enhances rhythmic pleasure for the listener Why is it that as the story progresses, Esperanza begins to focus less on herself andmore on the people who surround her?A) She finds other people more interesting than herself.B) She is beginning to feel a part of the community as she discovers herself.C) Esperanza is tired of talking about herself.D) She feels that people around her have a better story to tell. Help me please omggg I need help I am begging yall B is the circumcenter of ADG. find AE and DG Choose 2 of the following and briefly summarize their contributions to the field of psychology: Wilhelm Wundt, John Watson, William James, Sigmund Freud, or Max Wertheimer -(-10x-6)-6=-9xSolve for x whats 4x4-2+4-4-4-4-4-4-4-4+20+10 Given the graph of log y=log(2)x. Find the area of the three inscribed rectangles The height (h) in meters, of an item d days can be modeled using the equation, h(d) = 3(5/4)^x What does the fraction 5/4 represent in this equation?