Question

Match the description of the one variable equation with the number of solutions it will have.

ax+c1=bx+c2

The number of x's on both sides of the equation is different a≠b

The number of x's is the same on both sides of the equation, and the constant is different a=b, c1≠c2

The number of x's is the same on both sides of the equation and the constant is also the same a=b, c1=c2

Answer 1

[AI-generated answer — Bot GPT 3.5]

The number of x's on both sides of the equation is different a≠b: One solution

The number of x's is the same on both sides of the equation, and the constant is different a=b, c1≠c2: No solution

The number of x's is the same on both sides of the equation and the constant is also the same a=b, c1=c2: Infinitely many solutions

Answer 2

[AI-generated answer — Step-by-Step Bot]

1. The number of x's on both sides of the equation is different (a≠b): This equation will have one solution.

2. The number of x's is the same on both sides of the equation, and the constant is different (a=b, c1≠c2): This equation will have no solution.

3. The number of x's is the same on both sides of the equation, and the constant is also the same (a=b, c1=c2): This equation will have infinitely many solutions.