Question

Please help!:

How many solutions does the following equation have?

|3x + 12| = 18

Select one:
a. No solution
b. One solution
c. Two solutions
d. Infinitely many solutions

( My guess is two solutions)

Answer 1

The answer is 2 solution.

#Solution

`3x + 12 + 18 = 0 \\3x = - 18 - 12 \\ 3x = - 30 \\ x = - 10`

`3x + 12 - 18 = 0 \\ 3x = 18 - 12 \\ 3x = 6 \\ x = 2`

Answer 2

There are two solutions for the equation.

This is how you solve the absolute-value equation. If there is an equation of
| 3x + 12 | = 18
3x + 12 will have 2 solution, first is negative 18 and second is positive 18.

Work on it:
First solution
3x + 12 = -18
3x = -18 - 12
3x = -30
x = -10

Second solution
3x + 12 = 18
3x = 18 - 12
3x = 6
x = 2

The solution are x = -10 or x = 2. There are 2 solutions