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2x - 2y = 12 (1)

1x + 5y = 34 (2)

x + 5y = 34 subtract 5y to both sides

x = 34 - 5y (3)

Substitute 34 - 5y for x into the first equation

2x - 2y = 12

2(34 - 5y) - 2y = 12

68 - 10y - 2y = 12

68 - 12y = 12 subtract 68 to both sides

-12y = -56 divide by -12 to both sides

y = 4.666666667

Substitute 4.7 for y into the third equation

x = 34 - 5y

x = 34 - 5(4.7)

x = 34 - 23.33333333

x = 10.66666667

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