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Can you please solve the equation

Can you please solve the equation-example-1

1 Answer

5 votes

Answer:

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)

User Levine
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