Question

Solve the equations for x and match the solutions to the respective equations below:

1. 7+2ax=13
2. −ax−20=−14
3. 4=6/ax + 5

Answer 1

To solve the equations for x, we need to isolate x on one side of the equation. For each equation, we perform the necessary operations to get x by itself. The solutions for x are x = 3/a, x = -6/a.

Step-by-step explanation:

1. For equation 1: 7 + 2ax = 13
2. Subtract 7 from both sides: 2ax = 6
3. Divide both sides by 2a: x = 3/a
4. For equation 2: -ax - 20 = -14
5. Add 20 to both sides: -ax = 6
6. Divide both sides by -a: x = -6/a
7. For equation 3: 4 = 6/(ax) + 5
8. Subtract 5 from both sides: -1 = 6/(ax)
9. Flip the fraction and multiply both sides by (ax): -ax = 6
10. Divide both sides by -a: x = -6/a

The solutions for x are: x = 3/a, x = -6/a