Question

Solve |7x+42| =14x. Identify the solution and an extraneous solution.

Answer 1

x = 140.3333333........

Explanation:

17x+421 = 14x

move the numbers with x's to the left and 421 to the right so it makes

17x then 14x is positive but moved to the opposite side it becomes negative.

Then 421 is positive on the left so moved to the right makes it negative.

Which is 17x-14x=(-421)

then you do 17x mines 14x which is 3x

3x = (-421)

Now your goal is to isolate your variable x. So divide both sides by 3 because x is multiplied by three you need to do the opposite.

x = 140.3333333..........

Answer 2

Solution: x = 6;

Extraneous Solution: x = - 2

Explanation: