Question

ompare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution.

Equation #1

Equation #2

|x − 4| = 6

|3x + 12| = 18


Equation #1 and Equation #2 have the same number of solutions.

Equation #1 has more solutions than equation #2.

Equation #1 has fewer solutions than equation #2.

None of the statements above describe the number of solutions to equations shown.

Answer 1

x-4=+6 or -6
x-4=6 => x=2
x-4=-6 => x=-2

3x+12=18 or -18
3x+12=18 => x=2
3x+12=-18 => x=-10

Therefore, Equation #1 and Equation #2 have the same number of solutions.