Question

What is the solution of the system?
2x-y=-2
4x - y = -3

Answer 1

(-1/2,1)

Explanation:

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Answer 2

`(x,y) = \left(-\frac 12, 1 \right)`

Explanation:

`2x-y +2 = 0~~~~~...(i)\\\\4x-y+3=0~~~~~...(ii)\\\\\text{Now,}\\\\~~~~~~~(x)/((-1)(3) - (-1)(2)) = (y)/((2)(4) -2(3) ) = \frac 1{2(-1) - (-1)(4)}\\\\\\\implies (x)/(-3+2) = (y)/(8-6) = \frac 1{-2+4}\\\\\\\implies -x = \frac y2 = \frac 12\\\\\\ \implies x = -\frac 12,~~~ y = 1`