AlgebraHardDifference of the solution of a system
Algebra practice question
If 5x + 2y = 31 and x + 2y = 11, what is the value of x − y?
Answer: 2
Subtracting the second equation from the first gives 4x = 20, so x = 5; then 2y = 6 and y = 3; x − y = 2.
Common wrong answers
- If you answered 5
- 5 is x alone.
- If you answered 8
- 8 is x + y.
- If you answered -2
- −2 subtracts the wrong way.
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