Question

Solve the equation. Graph and check your solutions.
-3lxl=-6

Answer 1

To solve the equation -3| x | = -6, we need to isolate the absolute value expression.

First, we can divide both sides of the equation by -3:
| x | = 2

We know that the absolute value of x is equal to 2, which means that x can be either 2 or -2.

To graph the equation, we can plot the two solutions on a number line:
-2 2

Now, we can check the solutions by substituting them back into the original equation.

When we substitute x = 2:
-3| 2 | = -6

-3(2) = -6
-6 = -6

This equation is true, so x = 2 is a valid solution.

When we substitute x = -2:
-3| -2 | = -6

-3(-2) = -6
6 = -6

This equation is not true, so x = -2 is not a valid solution.

Therefore, the only solution is x = 2.