Question

Problem 5

Find the ordered pair $(x,y)$ that satisfies the system of equations
\begin{align*}
2x + y &=-7,\\
x &=4+2y.
\end{align*}
Thank you so much!

Answer 1

(-2,-3)

Explanation:

this is the ordered pair when we do (x,y).

Answer 2

Answer: (x, y) = ( -2, -3 )

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Work Shown:

2x+y = -7

2( x ) + y = -7

2( 4+2y ) + y = -7 .... plug in x = 4+2y

2*4 + 2*2y + y = -7

8 + 4y + y = -7

5y+8 = -7

5y = -7-8 .... subtract 8 from both sides

5y = -15

y = -15/5 ... divide both sides by 5

y = -3

This y value pairs with...

x = 4 + 2y

x = 4 + 2(-3)

x = 4 - 6

x = -2

So we have (x, y) = (-2, -3) as the solution to the system.