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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