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Eq 1: 3x + y = 10

Eq 2: 3x - 2y = -5

Subtract 1 from 2: -3y = -15

Divide by -3: y = 5

Substitute y = 5 in Eq 1: 3x + 5 = 10 so x = 5/3

Confirm in Eq 2: 3 x 5/3 - 10 = 15/3 - 10 = 5 - 10 = -5.

QED

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