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Solve for (x,y) in the system of equations

2x + y = -7

x = 4 + 2y - 3x

 Jul 29, 2022
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Equation 1:   \(2x+y=-7\)

Rewrite Equation 2 as follows: \(4x=4+2y \iff 2x=2+y\)

Substitute Equation 2 in 1:

\(2+y+y=-7 \implies y=-\dfrac{9}{2}\)

Thus, \(2x=2-\dfrac{9}{2}=-\frac{5}{2} \implies x=-\dfrac{5}{4}\)

I hope this helps!

 Jul 31, 2022

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