Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solutions. Equation 1 Equation 2 |5x - 6| = - 41 |7x + 13| = 27

| 5x - 6 | = - 41 ... no solution because an absolute value cannot be negative

|7x + 13 | = 27

7x + 13 = 27 - (7x + 13) = 27

7x = 27 - 13 - 7x - 13 = 27

7x = 14 - 7x = 27 + 13

x = 14/7 - 7x = 40

x = 2 x = - 40/7

so basically, equation 1 has no solution and equation 2 has 2 solutions