Advanced MathMediumRational equation with the variable in both places
Advanced Math practice question
If x/(x − 2) = 3 and x ≠ 2, what is the value of x?
Answer: 3
Multiply both sides by (x − 2): x = 3(x − 2) = 3x − 6. Then −2x = −6, so x = 3. Check: 3/(3 − 2) = 3.
Common wrong answers
- If you answered 1
- 1 would come from x = 3x − 2, forgetting to distribute the 3 onto the −2.
- If you answered 6
- 6 is 3 × 2, from 3(x − 2) = 3x − 6 with the x terms dropped. Collect them: x − 3x = −6.
- If you answered -3
- −3 has a sign slip: from −2x = −6, dividing by −2 gives x = 3, not −3.
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