Question

Can you please solve the equation

Answer 1

y = 36 and y = - 24

Explanation:

|
`(1)/(3)`y - 2 | - 7 = 3

First we can isolate the absolute value by adding 7 to both sides of the equation.

|
`(1)/(3)`y - 2 | = 10

We know that since the
`(1)/(3)`y - 2 is in the absolute value it can be both positive and negative.

So we have the two equations that we need to solve:

1.
`(1)/(3)`y - 2 = 10

`(1)/(3)`y = 12 (Add 2 to both sides)

y = 36 (Divide both sides by
`(1)/(3)`/Multiply both sides by 3)

2.
`(1)/(3)`y - 2 = - 10

`(1)/(3)`y = - 8 (Add 2 to both sides)

y = - 24 (Divide both sides by
`(1)/(3)`/Multiply both sides by 3)