#### Answer

x = 2
y = -3

#### Work Step by Step

x - 2y = 8 first equation
-x + 5y = -17 second equation
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3y = -9 add the equations to eleminate x
y = -3 divide both sides by 3
let y = -3 in first equation
x - 2y = 8
x - 2 (-3) = 8
x + 6 = 8 subtract 6 from both sides
x = 2