AlgebraVery hardConstant giving infinitely many solutions
Algebra practice question
For what value of k does the equation 4(x − 2) − 3(x + k) = x + 1 have infinitely many solutions?
Answer: -3
The left side simplifies to x − 8 − 3k. It equals x + 1 for every x only when −8 − 3k = 1, so k = −3.
Common wrong answers
- If you answered 3
- 3 has the sign wrong.
- If you answered -7/3
- −7/3 uses −8 + 1 instead of −8 − 1 when isolating k.
- If you answered -9
- −9 forgets to divide by 3.
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