Question

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?

Answer 1

| 4x - 3| - 5 = 4
| 4x - 3| = 9

4x - 3 = 9      -(4x - 3) = 9
4x = 12          -4x + 3 = 9
x = 3              -4x = 6
                        x = -6/4 or -1.5
solution to equation 1 : x = 3 and x = -1.5

|2x + 3| + 8 = 3
| 2x + 3| = - 5....no solution because an absolute value cannot equal a negative number