Question

Solve for x. one fifth times the absolute value of the quantity x minus 4 end quantity minus 3 equals 6

Answer 1

By solving an absolute value equation, we will see that the two solutions are:

x = 49 and x = -41

How to solve the equation for x?

First, we need to write the equation, we will get:

(1/5)*|x - 4| - 3 = 6

That is an absolute value equation, first let's isolate the absolute value part on the left side, so we get:

(1/5)*|x - 4| = 6+ 3 = 9

|x - 4| = 9*5 = 45

Now we have the simpler equation:

|x - 4| = 45

Which can be written in two ways:

x - 4 = 45

x - 4 = -45

So we will have two solutions for x:

x = 45 + 4 = 49

x = -45 + 4 = -41

These are the two possible values of x.

If you want to learn more about absolute value equations:

brainly.com/question/5012769

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