16Hit1600
AlgebraHardSubstitution giving a zero

Algebra practice question

If 3x + 2y = 12 and y = x − 4, what is the value of y?

Answer: 0

Substitute: 3x + 2(x − 4) = 12, so 5x − 8 = 12, 5x = 20, x = 4. Then y = 4 − 4 = 0.

Common wrong answers

If you answered 2
2 comes from 5x − 8 = 12 solved as x = 4 then y = 6 − 4 or a slip; y = 4 − 4 = 0.
If you answered 4
4 is x, not y.
If you answered -4
−4 comes from y = x − 4 with x = 0; but x = 4.

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