Respuesta :
entered :
-|3x-9|+2=-4
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
-|3x-9|+2 = -4
Another term is moved / added to the right hand side.
To make the absolute value term positive, both sides are multiplied by (-1).
|3x-9| = 6
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |3x-9|
For the Negative case we'll use -(3x-9)
For the Positive case we'll use (3x-9)
STEP
3
:
Solve the Negative Case
-(3x-9) = 6
Multiply
-3x+9 = 6
Rearrange and Add up
-3x = -3
Divide both sides by 3
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Negative Case
STEP
4
:
Solve the Positive Case
(3x-9) = 6
Rearrange and Add up
3x = 15
Divide both sides by 3
x = 5
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
x=1
x=5
I hope this help you
Answer: x= 1, 5
Step-by-step explanation:
First, isolate the absolute value. Subtract two from the equation to get -l3x-9l=-6, and then divide by -1 to get l3x-9l=6.
Since an absolute value measures how far away a value is from zero, it's always positive. For example, -10 and 10 have the same absolute value, 10, because they're both 10 units away from zero.
Because of this, you create two equations; 3x-9=6, and 3x-9=-6.
For the first equation, add 9 to 6 and divide that by 3 to get x=5.
For the second equation, add 9 to -6 and divide that by 5 to get x=1.
