Answer
x = 5
y = -2
Work Step by Step
3x + 2y = 11 first equation
5x - 2y = 29 second equation
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8x = 40 add the equations to eleminate y
x = 5 divide both sides by 8
let x = 5 in first equation
$3\times5$ + 2y = 11
15 + 2y = 11
2y = 11 - 15
2y = -4
y = -2