How do you solve the equation |62x|=6?

1 Answer
May 2, 2018

As shown below:

Explanation:

Absolute values can only be positive, so the first step i solving this equations, is to find the region where the values of x is negative, and the values of x are positive.

Achieve this like so:

2x=1x=12

Therefore

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Now you have two equations you have to solve:

6=6+2x

6=62x

x=0,x=6

If you're in a hurry, (or slightly lazy like I am), you can always enter the equation into your graphing calculator, like this:

y = abs(6+2x), y = 6, and (if you're using a Ti 83 or 84) press

(2nd) --> {calc} ---> intersect

Hope it helps!