ANSWERS: 2

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)

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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