AlgebraHardValue of a combination of the solutions
Algebra practice question
If 2x − 3y = 4 and x + 2y = 9, what is the value of 3x − y?
Answer: 13
From the second, x = 9 − 2y. Substitute: 18 − 4y − 3y = 4, so 7y = 14, y = 2, x = 5. Then 3x − y = 15 − 2 = 13.
Common wrong answers
- If you answered 5
- 5 is x alone.
- If you answered 7
- 7 is x + y.
- If you answered 17
- 17 is 3x + y, adding instead of subtracting.
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