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

solve each eqn
eqn 1
-(5 x - 6) = -41
-5 x = -41 -30 =-71 x = 71/5
(5 x - 6)= -41
5 x = -41 + 30 = -11 x = -11/5

eqn 2 |7x + 13| = 27
-7x -13 = 27
7 x = 27 + 13 x = -40/7
7 x + 13 = 27 x = 27 - 13 x = 14/7 = 2

Answer 2

so which one one these is it ?
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.