How do you solve #-3| a - 1| = - 15#?
-4 and 6.
Start by isolating the absolute value (it contains the variable you're solving for, a.)
Dividing both sides by -3 we get |a-1| = 5
Then, split this into two parts:
Solve for a in both of those, and you should have your answers.
The reason we split it into two equations to remove the absolute value symbols is because those symbols make a negative number positive. If the variable inside is negative, it will be made positive. This must be reflected when we're solving an equation like this.
Now imagine if a variable a was in those bars.
Hope this makes sense.
are the required solutions.
Divide both sides by
For an absolute value equation, there are two solutions.