To solve the equation |-6x| = -36, we can begin by isolating the absolute value on one side of the equation. To do this, we can divide both sides of the equation by -6:
| -6x | / -6 = -36 / -6
|x| = 6
Now we have the equation |x| = 6. This means that the value of x can be either 6 or -6, as both of these values would result in an absolute value of 6.
To graph the equation, we can plot these two solutions on a number line:
<-------(-∞)---(-6)----(6)---(∞)------->
We can see that the solutions to the equation are x = -6 and x = 6.
To check these solutions, we can substitute them back into the original equation and see if both sides of the equation are equal.
For x = -6:
|-6(-6)| = -36
|36| = -36 (absolute value of 36 is 36, not -36)
This equation is not true for x = -6, so it is not a valid solution.
For x = 6:
|-6(6)| = -36
|36| = -36 (absolute value of 36 is 36, not -36)
This equation is not true for x = 6, so it is not a valid solution.
Therefore, there are no solutions to the equation |-6x| = -36.
Solve the equation. Graph and check your solutions.
-6lxl=-36
1 answer
2 answers