Consider solving the equation for x.

3 (3x + 4) - 5 = ax + b

Which statements are true about the solution to the equation when substituting values for a and b as specified?

Select all that apply.

A. If a=-3 and b=4, then there is exactly one solution to the equation.

B. If a=-9 and b=13, then there is no solution to the equation.

C. If a=9 and b=-2, then there is no solution to the equation.

D. If a=-3 and b=-5, then there are infinitely many solutions to the equation.

E. If a=9 and b=7, then there is exactly one solution to the equation.

Question

Rodgers

Mathematics

3 January, 09:11

Consider solving the equation for x.

3 (3x + 4) - 5 = ax + b

Which statements are true about the solution to the equation when substituting values for a and b as specified?

Select all that apply.

A. If a=-3 and b=4, then there is exactly one solution to the equation.

B. If a=-9 and b=13, then there is no solution to the equation.

C. If a=9 and b=-2, then there is no solution to the equation.

D. If a=-3 and b=-5, then there are infinitely many solutions to the equation.

E. If a=9 and b=7, then there is exactly one solution to the equation.

+3

Answers (1)

Know the Answer?

Carley Ballard · Answer 1

So let's simplify the equation first.

9x + 12 - 5 = ax + b

9x + 7 = ax + b

9x - ax - b = 7

Alright now plug in the numbers for each option.

I don't feel like doing all of them but I did A (one solution) and B (no solution because the two 9x's cancel out).