AlgebraHardSystem with a halved variable
Algebra practice question
If x/2 + y = 7 and x − y = 2, what is the value of x?
Answer: 6
From the second equation, y = x − 2. Substitute: x/2 + x − 2 = 7, so (3/2)x = 9 and x = 6. Check: 3 + 4 = 7 and 6 − 4 = 2.
Common wrong answers
- If you answered 3
- 3 is x/2, half of x.
- If you answered 4
- 4 is y. The question asks for x.
- If you answered 9
- 9 is (3/2)x, one step short; multiply by 2/3.
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