#### Answer

x = -7
y = 5

#### Work Step by Step

x + 5y = 18 first equation
-3x - 15y = - 54 multiply by -3
3x + 2y = -11 second equation
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- 13y = - 65 add the equations to eleminate x
y = 5 divide both sides by -13
let y = 5 in first equation
x + $5\times5$ = 18
x + 25 = 18
x = 18 - 25 subtract 25 from both sides
x = -7