Given the equation (a + 3) x = 5, which of the following values of a is impossible?
A) a = 0
B) a = 5
C) a = 3
D) a = −5
E) a = −3
IMAT 2025 · Question 54
Q54 - Algebraic equations
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The correct answer is E) a = −3.
(a + 3)x = 5 has no solution when the coefficient of x is zero but the right side isn't. That happens at a = −3, where you get 0 · x = 5.
For any other a, x = 5/(a + 3) works.
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