by 
Anonymous
ANSWERS: 2
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x + 2y = 10 3x - y = 2 x = 10 - 2y substitute: 3(10 - 2y) - y = 2 Distribute: 30 - 6y - y = 2 Combine like terms: 30 - 7y = 2 -30 -7y = -28 /-7 y = 4 substitute: x = 10 - 2(4) x = 10 - 8 = 2 (x,y) = (2,4)
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You want to get one variable all by itself on one side of the equation: x + 2y = 10 -2y x = 10 - 2y Now, substitute that value for x into the other equation: 3(10 - 2y) - y = 2 Solve for y: y=4 Now, sub that value back into x = 10 - 2y x = 10 - 2(4) Solve. x = 2
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