AlgebraMediumSum of the coordinates of an intersection point
Algebra practice question
In the xy-plane, the lines y = 2x − 1 and y = −3x + 14 intersect at point Q. What is the sum of the x- and y-coordinates of Q?
Answer: 8
2x − 1 = −3x + 14 → 5x = 15 → x = 3, and y = 2(3) − 1 = 5. The sum is 3 + 5 = 8.
Common wrong answers
- If you answered 3
- 3 is the x-coordinate alone.
- If you answered 5
- 5 is the y-coordinate alone.
- If you answered 15
- 15 is the product of the coordinates.
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