Question

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

Answer 1

 | 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