The table below shows two equations:

Equation 1: |4x - 3| - 5 = 4

Equation 2: |2x + 3| + 8 = 3

Which statement is true about the solution to the two equations?

Equation 1 and equation 2 have no solutions.

Equation 1 has no solution and equation 2 has solutions x = - 4, 1.

The solutions to equation 1 are x = 3, - 1.5 and equation 2 has no solution.

The solutions to equation 1 are x = 3, - 1.5 and equation 2 has solutions x = - 4, 1.

This problem can be solved by using the answer choices. We plug in the given values of the equations and see if they satisfy it.

| 4 (3) - 3 | - 5 = 4

4 = 4; this is a solution

| 4 (-1.5) - 3 | - 5 = 4

4 = 4; this is a solution

|2 (-4) + 3| + 8 = 3

13 = / = 3, not a solution

|2 (1) + 3| + 8 = 3

13 = / = 3, not a solution

Thus, equation 1 has two solutions, x = 3 and x = - 1.5, while equation 2 has no solutions. The third option is correct.