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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