16Hit 1600
AlgebraMediumParameter for a point on a line

Algebra practice question

The point (k, k + 3) lies on the graph of 5x − 2y = 9. What is the value of k?

Answer: 5

Substitute: 5k − 2(k + 3) = 9, so 3k − 6 = 9 and k = 5.

Common wrong answers

If you answered 1
Remember to distribute the −2 over both k and 3: −2(k + 3) = −2k − 6.
If you answered 3
3 is the coefficient 5 − 2; solve 3k − 6 = 9 to get k = 5.
If you answered 15
15 is 3k; divide by 3 for k = 5.

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