Question

4x-y=2 2x+9y=-12 unsure how to solve

Answer 1

`4x-y=2 \\ 2x+9y=-12 \\ \\ ---- \\ \\ 4x - y = 2 \\ \\ 4x - y + 4 = 2 + y \\ \\ 4x = 2 + y \\ \\ (4x)/(4) = (2+y)/(4) \\ \\ x = (2+y)/(4) \\ \\ 2 (2+y)/(4) + 9y = -12 \\ \\ 9y + (y+2)/(2) = -12 \\ \\ 2 * 9y + 2 (y+2)/(2) = -2 * 12 \\ \\ 19y + 2 = -24 \\ \\ 19y + 2 - 2 = -24 - 2 \\ \\ 19y = -26 \\ \\ (19y)/(19) = (-26)/(19) \\ \\ y = - (26)/(19) \\ \\`

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`\\ \\ x = (2+y)/(4) \\ \\ y = - (26)/(19) \\ \\ x = (2- (26)/(19) )/(4) \\ \\ x = (3)/(19) \\ \\`

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The final result is: x = 3/19 and y = -26/19.