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AlgebraEasySystem where the two variables are equal

Algebra practice question

The solution of the system y = x and x + y = 10 is the point (a, a). What is the value of a?

Answer: 5

With y = x, the second equation is 2x = 10, so x = 5 and the point is (5, 5).

Common wrong answers

If you answered 0
0 satisfies y = x but not x + y = 10.
If you answered 10
10 is the sum, not each coordinate.
If you answered 20
20 doubles the sum.

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