16Hit1600
AlgebraEasy–MediumSystem whose solution has equal coordinates

Algebra practice question

The solution of the system 2x + y = 9 and x + 2y = 9 is the point (a, a). What is the value of a?

Answer: 3

With x = y = a, the first equation gives 3a = 9, so a = 3.

Common wrong answers

If you answered 1
1 comes from subtracting the equations wrongly.
If you answered 9
9 is the constant, not a.
If you answered 4.5
4.5 halves 9.

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