For which values of a is the equation 3x + a = 3 determined?
A) For a ≠ −3
B) For a ≠ 3
C) For no value of a
D) For a ≠ 0
E) For any value of a
IMAT 2025 · Question 53
Q53 - Algebraic equations
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The correct answer is E) For any value of a.
"Determined" means exactly one solution. 3x = 3 − a gives x = (3 − a)/3, and since the coefficient of x is 3 and never zero, there's always exactly one solution, whatever a is.
a is only a constant term, so no value of it can break the equation.
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