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# System

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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