AlgebraMediumRatio of the coordinates of an intersection point
Algebra practice question
In the xy-plane, the lines 2x + y = 10 and x − 2y = 0 intersect at the point (a, b). What is the value of a/b?
Answer: 2
From the second equation x = 2y. Substituting: 4y + y = 10 → y = 2, x = 4. So a/b = 4/2 = 2.
Common wrong answers
- If you answered 6
- 6 is a + b.
- If you answered 8
- 8 is ab.
- If you answered 1/2
- 1/2 is b/a.
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