Solve the absolute value equation.
|-9x| = 27
Solution:-
If a is appositive real number and is u is algebraic expression, than |u| =a is equivalent to u = a or u = -a.
Notice that the equation |-9x| = 27 is the form |u| = a, where u = -9x. There are two possibilities.
-9x = 27 or -9x = -27
Solve the first equation for x.
-9x = 27
Divide both sides by -9.
x = -3
Now solve the second equation for x.
-9x = -27
Divide both sides by -9.
x = 3
finally, write the solutions.
The solutions are -3, 3.