Solve for (x,y) in the system of equations
2x + y = -7
x = 4 + 2y - 3x
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!