AlgebraMediumParameter for which a described point lies on a line
Algebra practice question
For what value of k is the point (k, k + 1) a solution of the equation 2x + 3y = 18?
Answer: 3
Substitute: 2k + 3(k + 1) = 18 → 5k + 3 = 18 → k = 3. The point is (3, 4).
Common wrong answers
- If you answered 4
- 4 is k + 1, the y-coordinate.
- If you answered 15
- 15 is 5k, before dividing by 5.
- If you answered 3.6
- 3.6 comes from 5k = 18, forgetting the +3.
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