Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is t
rue about each solution. (3 points) Equation #1
|2x - 3| = -17
Equation #2
|5x + 3| = 12
a-Equation #1 and Equation #2 have the same number of solutions.
b-Equation #1 has more solutions than equation #2.
c-Equation #1 has fewer solutions than equation #2.
d-None of the statements above describe the number of solutions to equations shown.
Equation #1: |2x - 3| = 17 The first solution is 2x - 3 = 17 2x = 17 + 3 = 20 x = 10 The second solution is 3 - 2x = 17 -2x = 17 - 3 = 14 x = -7 The solutions are x = 10 or x = -7.
Equation #2: |5x + 3| = 12 The only solution is 5x + 3 = 12 5x = 12 - 3 = 9 x = 9/5
Let us examine the given answers. a. Equation #1 and #2 have the same number of solutions. FALSE b. Equation @1 has more solutions than Equation #2. TRUE c. Equation #1 has fewer solutions than equation #2. FALSE d. None of the statements a,b, or c apply. FALSE
