Slove using elimination-2x-5y=12x+2y=-10

Ryan asked Jun 27, 2023

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Ryan asked Jun 27, 2023

by Ryan

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15 votes

We have the following:

$\begin{gathered} -2x-5y=1 \\ 2x+2y=-10 \end{gathered}$

solving using elimination:

$\begin{gathered} -2x-5y=1 \\ + \\ 2x+2y=-10 \\ -2x+2x-5y+2y=1-10 \\ -3y=-9 \\ y=(-9)/(-3) \\ y=3 \end{gathered}$

Now, for x:

$\begin{gathered} -2x-5\cdot3=1 \\ -2x-15=1 \\ -2x=16 \\ x=(16)/(-2) \\ x=-8 \end{gathered}$

Therefore:

x = -8 and y = 3

MrDracow answered Jul 1, 2023

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