16Hit1600
AlgebraHardSolution value from a system with a negative

Algebra practice question

If 2x + 3y = 5 and x − 2y = 6, what is the value of y?

Answer: -1 or −1

From the second, x = 6 + 2y. Substitute: 2(6 + 2y) + 3y = 5, so 12 + 7y = 5 and y = −1. (Then x = 4.)

Common wrong answers

If you answered 1
1 has the wrong sign; 7y = 5 − 12 = −7.
If you answered 4
4 is x, not y.
If you answered -7
−7 is 7y, not y.

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