AlgebraMediumSubstitution with a fractional relation
Algebra practice question
If y = x/3 and 2x + 3y = 27, what is the value of x?
Answer: 9
Substitute y = x/3: 2x + 3(x/3) = 2x + x = 3x = 27, so x = 9. (Then y = 3.)
Common wrong answers
- If you answered 3
- 3 is y, not x.
- If you answered 13.5
- 13.5 is 27/2, ignoring the 3y term, which equals x.
- If you answered 5.4
- 5.4 is 27/5, treating 3y as 3x instead of x.
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