Find x .Determine x if |3x+6|=9 .
It is given that |3x+6|=9
As the absolute value of 3x + 6 is equal to 9 either 3x + 6 = 9 or -(3x + 6) = 9
3x + 6 = 9
=> 3x = 3
=> x = 1
-(3x + 6) = 9
=> 3x + 6 = -9
=> 3x = -15
=> x = -5
The solutions of x are x = 1 and x = -5
Find x .Determine x if |3x+6|=9 .
What you have to do is solve for two possible equations. They are
3x + 6 = 9
and
-(3x + 6) = 9 which is the same as
-3x - 6 = 9
So you must solve both:
3x + 6 = 9
3x = 3
x = 1
-3x - 6 = 9
-3x = 15
x = -5
So the answer for this is x = -5,1
Finding xDetermine x if |3x+6|=9.
We have to solve |3x+6|=9
As the absolute value of (3x + 6) is equal to 9, the actual value of 3x + 6 can be 9 or -9.
This gives 3x + 6 = 9
=> x = 3/3 = 1
and 3x + 6 = -9
=> 3x = -15
=> x = -5
The required values of x are x = 1 and x = -5.
Finding xDetermine x if |3x+6|=9.
To solve this, you need to split your first equation into two equations. This is because |3x+6| can equal 3x + 6 or it can equal -(3x+6) which is -3x - 6.
So you need to solve two equations: 3x + 6 = 9 and -3x - 6 = 9.
Now it's simple:
3x + 6 = 9
3x = 3
x = 1
-3x - 6 = 9
-3x = 15
x = -5
So the answer is that x = -5,1
See eNotes Ad-Free
Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.
Already a member? Log in here.