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What is the x value of the solution to the system shown?
2y = 2x + 12
2-y=4

User Mems
by
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1 Answer

3 votes

Answer:


x = -8

Explanation:


\begin{cases}2y = 2x + 12\\2-y = 4\end{cases}

It would be easier to start with the second equation.


2 - y = 4 \text{ // Add y and subtract 4}\\\to 2 - y - 4 = 4 - y - 4\\\to -2 = y

From here, we can substitute
y = -2 into the first equation, to solve for
x.


2(-2) = 2x + 12\\\to -4 = 2x + 12 \text{ // Subtract 12 on both sides}\\\to -4 - 12 = 2x + 12 - 12\\\to -16 = 2x \text{ // Divide by 2}\\\to -\frac{16}2 = \frac{2x}2\\\to -8 = x

User Prashantsahni
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