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 1Equation 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

Hello,

|5x-6|=-41 has no soulution: |5x-6| is always>=0.

|7x+13|=27 has 2 solutions: 2 and -40/7

Answer C: Equation 2 has more solutions than Equation 1.

Answer 2

Given two expressions |5x − 6| = −41 and |7x + 13| = 27, we determine the solutions:

|5x-6|= −41 .Since any number enclosed in an absolute notation always results to a positive number, equation 1 has no solution.

|7x + 13| = 27. We can consider this solution since the number on the right is positive. We can solve this by
(7x + 13) = 27
x = 2
-(7x + 13) = 27
x = 40/7.
Hence equation 2 has more number of solutions than equation 1.