Mathematics, 04.02.2020 09:48 Fireburntbudder

Y=2x-2 and 4x+2y=12. solve the equation show work

Answers: 2

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Answers

Answer from: darrell1168

The solution as an ordered pair is (x,y) = (2,2)x = 2 and y = 2 pair up together.

Work Shown:

4x+2y = 12

4x+2( y ) = 12

4x+2( 2x-2 ) = 12 ... replace y with 2x-2

4x+2( 2x ) + 2( -2 ) = 12 ... distribution rule

4x+4x-4 = 12

8x-4 = 12

8x-4+4 = 12+4 ... add 4 to both sides

8x = 16

8x/8 = 16/8 ... divide both sides by 8

x = 2 is the first part of the answer

Use x = 2 to find y

y = 2x-2

y = 2(2)-2 ... replace x with 2

y = 4-2

y = 2 is the second part of the answer

Answer from: kathleendthomas

x = 2 and y = 2 → (2, 2)

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=2x-2&\text{subtract 2x from both sides}\\4x+2y=12\end{array}\right\\\\\left\{\begin{array}{ccc}-2x+y=-2&\text{multiply both sides by 2}\\4x+2y=12\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-4x+2y=-4\\4x+2y=12\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad4y=8\qquad\text{divide both sides by 4}\\.\qquad\qquad\boxed{y=2}\\\\\text{Put the value of y to the second equation:}$

$4x+2(2)=12\\4x+4=12\qquad\text{subtract 4 from both sides}\\4x=8\qquad\text{divide both sides by 4}\\\boxed{x=2}$

Answer from: Quest

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2 polynomial long division

dividing : x4+5x3-4x2-8x+6

("dividend")

by : x-1 ("divisor")

dividend x4 + 5x3 - 4x2 - 8x + 6

- divisor * x3 x4 - x3

remainder 6x3 - 4x2 - 8x + 6

- divisor * 6x2 6x3 - 6x2

remainder 2x2 - 8x + 6

- divisor * 2x1 2x2 - 2x

remainder - 6x + 6

- divisor * -6x0 - 6x + 6

remainder 0

quotient : x3+6x2+2x-6 remainder: 0

Answer from: Quest

3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.

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Y=2x-2 and 4x+2y=12. solve the equation show work...