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. (2 points) Equation 1 Equation 2 |5x − 6| = −41 |7x + 13| = 27 Equation 1 has more solutions than equation 2. Equation 1 and Equation 2 have the same number of solutions. Equation 2 has more solutions than Equation 1. The number of solutions cannot be determined.

Answer 1

Equation 2 has more solutions then equation 1

Answer 2

2|5x - 6| = -41
| 5x - 6| = -41/2
|5x - 6| = -20.5
this has no solutions because an absolute value cannot be equal to a negative number

|7x + 13 | = 27
7x + 13 = 27 and 7x + 13 = -27...this one has 2 solutions

so equation 2 has more solutions then equation 1