Answer
x = -2
y = 4
Work Step by Step
x + 4y = 14 first equation
-5x - 20y = - 70 multiply by -5
5x + 3y = 2 second equation
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-17y = - 68 add the equations to eleminate x
y = 4 divide both sides by -17
let y = 4 in first equation
x + $4\times4$ = 14
x + 16 =14
x =14 - 16 subtract 16 from both sides
x = -2