AlgebraVery hardDifference of coordinates
Algebra practice question
If (x, y) is the solution to the system x − 2y = 3 and 4x + y = 30, what is the value of x − y?
Answer: 5
From the first equation x = 3 + 2y. Substituting: 12 + 9y = 30, so y = 2 and x = 7. Then x − y = 5.
Common wrong answers
- If you answered 2
- 2 is y alone; compute x − y = 5.
- If you answered 7
- 7 is x alone; subtract y = 2.
- If you answered 9
- 9 is x + y; the question asks for the difference, 7 − 2 = 5.
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