AlgebraVery hardEquation whose solution is a given value
Algebra practice question
For which of the following equations is x = −2 the solution?
- A. 5x + 3 = 2x − 3Correct
- B. 5x + 3 = 2x + 3
- C. 3(x − 2) = 0
- D. 4x − 1 = x + 5
Answer: A. 5x + 3 = 2x − 3
5(−2) + 3 = −7 and 2(−2) − 3 = −7 ✓. (Solving: 3x = −6, x = −2.)
Why the other answers are wrong
- B. 5x + 3 = 2x + 3
- 5x + 3 = 2x + 3 gives x = 0.
- C. 3(x − 2) = 0
- 3(x − 2) = 0 gives x = 2, not −2.
- D. 4x − 1 = x + 5
- 4x − 1 = x + 5 gives x = 2.
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