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 |2x + 13| = 28
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

both absolute value equations have 2 solutions

Answer 2

the solutions for eq 1 can be solved with these 2 equations (5x + 6 = 41) and -(5x + 6 = 41)....so there are 2 solutions

the solutions for eq 2 can be found with these 2 equations (2x + 13 = 28) and -(2x + 13 = 28)...so there are 2 solutions

so both absolute value equations have 2 solutions