16Hit1600
AlgebraVery hardConstant for infinitely many solutions

Algebra practice question

The equation 6x + 9 = 3(2x + b), where b is a constant, has infinitely many solutions. What is the value of b?

Answer: 3

Expand the right side: 6x + 3b. For 6x + 9 = 6x + 3b to hold for every x, the constants must match: 3b = 9, so b = 3.

Common wrong answers

If you answered 0
0 would give 6x + 9 = 6x, which is never true.
If you answered 6
6 is the coefficient of x, not b.
If you answered 9
9 is 3b, one step short; the 3 outside the parentheses multiplies b.

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