Find the solution to the system of equations below

y=-5x+3
2x-3y=8

Answers

Answer 1

Answer: (1, -2)

Concept:

There are three general ways to solve the system of equations:

Elimination SubstitutionGraphing

Here, we are going to use the elimination method to solve.

Solve:

Given

[tex]\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.[/tex]

Convert the first equation's arrangement to correlate with the second equation

[tex]\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.[/tex]

Multiply 3 on both sides in the first equation

[tex]\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.[/tex]

Eliminate [y] by adding the two equations

[tex]17x = 17[/tex]

Divide both sides by 17

[tex]17x / 17=17/17[/tex]

[tex]x=1[/tex]

[tex]y=-5x+3=-5(1)+3=-5+3=-2[/tex]

[tex](1, -2)[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

A 2-pound bag of potatoes costs $0.96. What is the price per ounce?

Answers

Answer:

.03

Step-by-step explanation:

1 pound = 16 ounces 2 pounds is 32

and 96/32 is 3

Answer:

$.03 per ounce

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 32 ounces

Take the price and divide by the number of ounces

.96 / 32 ounces

.03 per ounce

The coordinates of point T are (0,5). The midpoint of ST is (4, -5). Find the coordinate of point S

Answers

Answer:

(8, -15)

Step-by-step explanation:

Midpoint formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex]

where [tex](x_1,y_1)[/tex] is the first point (T) and [tex](x_2,y_2)[/tex] is the second point (S)

Step 1. plug in what we have so far into the midpoint formula

[tex](\frac{0+x_2}{2} ,\frac{5+y_2}{2} )[/tex]

but remember, the midpoint is (4, -5)

Step 2. solve for point (S)

The first coordinate of point (S) is the x-coordinate. And to solve for the x-coordinate, (since they're being divided by 2) multiply 2 by 4 (the x-coordinate of the midpoint)

[tex](\frac{0+8}{2},\frac{5+y_2}{2})[/tex]

... (hard to explain for the y-coordinate of point (S))

Point S = [tex](8,-15)[/tex]

Benny thinks of a number, subtracts 18 from it, and divides the difference by 3, the result is (-4). What is the number?

Answers

Answer:

n=6

Step-by-step explanation:

(n-18)/3 = -4

multiply by 3

n-18 = -12

add 18

n = 6

The number is 6 and you’re very welcome!!

A swimming pool holds liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in minutes, and the second pipe alone can empty it in minutes. When both pipes are draining together, how long does it take them to empty the pool

Answers

Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.

The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.

Step-by-step explanation:

Please help with geometry

Answers

Answer:

x

Step-by-step explanation:

Answer:
-37
Explanation:

the two triangles are similar what is the length of the missing side show your work​

Answers

Answer:

Step-by-step explanation:

4 (y + z); use y = 5 and z = 4

Answers

Answer:

It is 9

Step-by-step explanation:

[tex]4(y + z)[/tex]

when y is 5, z is 4

substitute:

[tex] = 4(5 + 4) \\ = 36[/tex]

Answer:

y=5 z = 4 - substitution

4 (5 + 4) = 4 (9) = 36

please help asap show work and dont put links

Answers

Answer:

add two tiles per figure until u get to eight.

Step-by-step explanation:

What is the first step to solving the division problem below?

6288 divided by 8

Answers

Answer:

devide it by 2 three times

Step-by-step explanation:

6288/2=3144

3144/2=1572

1572/2=786

i think that's the easiest way to do it

the product of two numbers is 21. If the first number is negaitve 3, which eaqution represents this situation and what is the second number

Answers

Answer:

-7 is the second number

Step-by-step explanation:

-3 * (-7) = 21

I need help from big brain

Answers

4 times because they have the same denominator and 8 divided by 2 is 4

Answer:

[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If you are asking how many times does 8/3 goes into 2/3 then this means 8/3 is the dividend. The dividend is the number that is being divided by another number. This means the answer would be 8/3 divided by 2/3. I hope this makes sense.

I hope this helps :). If you have any questions let me know. Have a good day.

Write an equation of the line that passes through the point (-1, 4) with slope 2.

Answers

Answer: y - 4 = 2 (x + 1)

Step-by-step explanation:

There are in four general forms of equations:

Slope-intercept form: y = mx + bPoint-slope form: y - y₁ = m (x - x₁)Standard form: Ax + By = CIntercept form: x/a + y/b = 1

Here, we are going to use the point-slope form because the question has given us both the slope and one point.

Solve:

**Disclaimer** Since the question did not clarify, thus, I choose to use the point-slope form as it is the easiest method. However, if the question has a specified form of the equation, please tell me and I will redo it.

Given information

(x₁, y₁) = (-1, 4)

m = 2

Given expression

y - y₁ = m (x - x₁)

Substitute values into the expression

y - 4 = 2 (x + 1)

Hope this helps!! :)

Please let me know if you have any questions

4.) 5(3y – z) - x =
If y=8, z=6, and x=2

Pls help lol

Answers

Answer:

90

Step by step explanation:

5(3y - z) - x = 0

or, 5(3×8 - 6) = x

or, 5(24 - 6) = x

or, 5×18 = x

or, x = 90

Answer:

88

Step-by-step explanation:

Given expression:

5(3y - z) - x

Evaluating the value of this expression if y = 8, z = 6, x = 2:

5(3*8 - 6) - 2 = 5(24 - 6) - 2 = 5(18) - 2 = 90 - 2 = 88

Find the perimeter of a square with sides 2 5/8 .

Answers

Answer:

10.5

Step-by-step explanation:

2⅝×4=10.5

..............

Solve Y^2 +9y+2=8y+58

Answers

Answer:

y²+y-56=0

56=8×7

8-7=1

(y+8)×(y-7)=0

y=7

or

y=-8

so its 7,-8

Answer:

y = -8, 7.

Step-by-step explanation:

y^2 +9y+2=8y+58

y^2 + 9y + 2 - 8y - 58 = 0

y^2 + y - 56 = 0

(y - 7)(y + 8) = 0

y = -8, 7.

answers in the grid on
Око
28) f(x) = ax? + bx+c is a quadratic function where a, b and c are constant,
the value of x of the point of intersection of this quadratic function and linear
function g(x) = 2x - 1 is 3. The vertex of f(x) is at (-3,-1). What is the
product of a, b and c?

Answers

Answer:

a= 1/6

b=1

c=1/2

a*b*c =  [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  1/6x^2+ 1x+ 0.5

The length of a rectangle is 2m-1 and the width is m+3. Simplify an expression for the perimeter of the rectangle.

Answers

Answer:

6m+ 4

Step-by-step explanation:

2(2m-1) + 2(m+3)

4m - 2 + 2m + 6

6m + 4

I need help solving this systems of equations problemn

Answers

Answer:

thequantity in column b is greater

Step-by-step explanation:

7a+b=33......(1)

3a-b=7.........(2)

(1)+(2)

7a+b+3a-b=33+7

10a+b-b=40

10a=40

a=4

in equation (1)

7*4+b=33

28+b=33

b=33-28

b=5

b>a

Factor over the Reals

Answers

Answer:

(x - 2y)³(1 - x+ 2y)(1 + x - 2y)

Step-by-step explanation:

Given

(x - 2y)³ - [tex](x-2y)^{5}[/tex] ← factor out (x - 2y)³ from both terms

= (x - 2y)³(1 - (x - 2y)²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

1 - (x - 2y)²

= 1² - (x - 2y)²

= (1 - (x - 2y) )(1 + (x - 2y) )

= (1 - x + 2y)(1 + x - 2y)

Then

(x - 2y)³ - [tex](x-2y)^{5}[/tex]

= (x - 2y)³(1 - x + 2y)(1 + x - 2y) ← in factored form

Which statement is true about the given information?

A line has points B, C, D, and E. All points are equal distances from each other.

BD = One-halfBC
BC = One-halfBE
BD ≅ CE
BC ≅ BD
Mark this and return

Answers

Answer

∴ The true statement is Answer:

The true statement is BD ≅ CE  ⇒ 3rd answer

Step-by-step explanation:

- There is a line contained points B , C , D , E

- All points are equal distance from each other

- That means the distance of BC equal the distance of CD and equal

 the distance of DE

∴ BC = CD = DE

- That means the line id divided into 3 equal parts, each part is one

  third the line

∴ BC = 1/3 BE

∴ CD = 1/3 BE

∴ DE = 1/3 BE

∵ BC = CD

∴ C is the mid-point of BD

∴ BC = 1/2 BD

∵ CD = DE

∴ D is the mid-point of DE

∴ CD = 1/2 CE

- Lets check the answers

* BD = one half BC is not true because BC = one half BD

* BC = one half BE is not true because BC = one third BE

* BD ≅ CE is true because

 BD = BC + CD

 CE = CD + DE

 BC ≅ DE and CD is common

 then BD ≅ CE

* BC ≅ BD is not true because BC is one half BD

∴ The true statement is BD ≅ CE

plz mark me brainliest

One third of a bamboo is buried in mud, one sixth of it is in water and the part above the water is greater than or equal to 3 meters. Find the length of the shortest pole.​

Answers

Answer:

6m

Step-by-step explanation:

Buried in mud: 3

In and above the water: 6

Total buried in the mud and in/above the water: 3 + 6 = 3 ÷ 6 = 2m

The length of the shortest pole?

Based to the question,

2m + 3m = ...?

= 2m x 3m

= 6 m

The length of the shortest pole is 6m.

5( x-2)+3x-4 = -38 solve for x

Answers

Answer:

x = -3

Step-by-step explanation:

5(x-2)+3x-4 = -38

=> 5x-10+3x-4 = -38

=> 5x+3x-10-4 = -38

=> 8x-14 = -38

=> 8x = -38+14

=> 8x = -24

=> x = -24/8

=> x = -3

x=-3 i did all of the work but if you have any more questions feel free to let me know !

On Monday the price of gas is $3.50 on Tuesday the price drop my $.50 and I won’t say the price increase by $.65 or I am Santa edition equation to show final price of gas

Answers

If on Monday it is $3.50 and the price dropped down on Tuesday by $.50 It would be $3.00 if on Wednesday it increases by $.65 it would be $3.65

to the nearest tenth cm^3 what is the volume of a sphere with a length of 2.40 cm a width of 2.40 cm and a height of 2.40cm

Answers

Answer:

9

Step-by-step explanation:

show your work and answer

expanded in 5th grade

Answers

Answer:

What expanded?

Step-by-step explanation:

Answer:

What expanded?

Step-by-step explanation:

Reduce to a simplest form.

1. 6/20

2. 28/16​

Answers

Answer:

D

Step-by-step explanation:

1.) 3/10 [i just divided it by two]
2.) 7/4 or 1 3/4 i reduced the fraction by dividing it by 2 then 2 again and for the other one i divided 16 into 28 and made it into a mixed number then reduced

If f(x) and g(x) are equivalent, what must a be?
[f(x) and g(x) in the picture]​

Answers

[tex] \frac{1}{ \frac{1}{3}x - 2 } + 5 = \frac{a}{x - 6} + 5 \\ \\ \frac{a}{x - 6} = \frac{1}{ \frac{1}{3}x - 2 } + 5 - 5 \\ \\\frac{a}{x - 6} = \frac{1}{ \frac{1}{3}x - 2 } \\ \\ a \: (\frac{1}{3}x - 2) = x - 6 \\ \\ a = \frac{x - 6}{\frac{1}{3}x - 2} \\ \\ a = \frac{x - 6}{ \frac{x - 6}{3} } \\ \\ a = (x - 6) \div \frac{x - 6}{3} \\ \\ a = (x - 6) \times ( \frac{3}{x - 6} ) \\ \\ a = 3[/tex]

I hope I helped you^_^

solve for X
1/2(10x+4)=12​

Answers

Answer:

x = 2

Step-by-step explanation:

Distribute the 1/2 on the left side to each term

1/2 * 10x + 1/2 * 4 = 12

Now multiplication first before addition on the left side.

5x + 2 = 12

Subtract 2 on both sides

5x = 10

Divide by 5 on both sides

x = 2

Check work

1/2(10(2) + 4) = 12

1/2(20 + 4) = 12

1/2 * 24 = 12

24/2 = 12 = 12

Please help me solve

Answers

Step-by-step explanation:

Area of triangle=1/2 × base × altitude

base=7/2 ft

altitude=8/5ft

Subtitute values in formula:

Area=1/2*7/2*8/5 square.ft

Area=56/20 square.ft

Note:if you need to ask any question please let me know.

Someone help I for got how to do this been long

Answers

One way to think of it is to think of it as a large rectangle, 21 ft by 15, and subtracting the area of a smaller missing rectangle that is, 12 ft by 9 feet. Doing the math for those is 315ft^2 for the larger one and 108ft^2 for the smaller. Simple subtraction of those leaves you with 207ft^2
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