Answer
x = 2
y = -3
Work Step by Step
4x + 2y = 2 first equation
3x - 2y = 12 second equation
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7x = 14 add the equations to eleminate y
x = 2 divide bpth sides by 7
let x = 2 in first equation
$4\times2$ + 2y = 2
8 + 2y = 2
2y = 2 - 8 subtract 8 from both sides
2y = -6
y = -3 divide both sides by 2