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
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

I can tell just by looking without doing any work that equation 2 has more solutions then equation.

The reason I say this is because |5x - 6| = -41 has no solutions because an absolute value cannot equal a negative number. Equation 2 is going to have 2 solutions, and they would come from these 2 equations : 7x + 13 = 27 and
-(7x + 13) = 27