Question

Solve the absolute value equation.
3x - 4 = 5
x= 3 or x=-3-
x = 3 or x=
x=-3

Answer 1

The first one ; x=3

Answer 2

Answer:

see explanation

Step-by-step explanation:

Assuming the equation to be

| 3x - 4 | = 5, then there are 2 possible solutions

3x - 4 = 5 or 3x - 4 = - 5 ( add 4 to both sides of both equations )

3x = 9 or 3x = - 1 ( divide both sides by 3 in both equations )

x = 3 or x = - $\frac{1}{3}$

As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 3

| 9 - 4 | = | 5 | = 5 ← correct

x = - $\frac{1}{3}$

| - 1 - 4 | = | - 5 | = 5 ← correct