Question

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

Answer 1

Absolute values are a way of finding a distant from zero, which means there will be 2 answers; one will be positive, and the other will be negative.


`|3x-4|=5 and |3x-4|=—5` Because you need 2 answers, you have to make 5 positive and negative.

Another way to write this equation would be...
5=|3x-4|=—5


Now lets continue...
5=3x-4=—5


Add 4 to both sides...
9=3x=—1


Now divide by 3...
3=x=
`- (1)/(3)`

So the solution is...
X={
`-(1)/(3)`, 3}