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1/3(y - 2) -5/6 (y + 1) =3/4 (y - 3) - 2

User Skenvy
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1 Answer

5 votes

Answer:


y=(11)/(5)

Explanation:

Given expression


(1)/(3)(y-2)-(5)/(6)(y+1)=(3)/(4)(y-3)-2

To solve for
y for the given expression.

Solution:

We multiply each term with the least common multiple of the denominators of the fraction in order to remove fractions.

The multiples of the denominators are:

3 = 3,6,9,12,15

6 = 6,12

4 = 4,8,12

The least common multiple = 12.

Multiplying each term with 12.


12.(1)/(3)(y-2)-12.(5)/(6)(y+1)=12.(3)/(4)(y-3)-2(12)


4(y-2)-10(y+1)=9(y-3)-24

Using distribution.


4y-8-10y-10=9y-27-24

Simplifying.


-6y-18=9y-51

Adding
6y both sides.


-6y+6y-18=9y+6y-51


-18=15y-51

Adding 51 both sides.


-18+51=15y-51+51


33=15y

Dividing both sides by 15.


(33)/(15)=(15y)/(15)


(33)/(15)=y

Simplifying fractions.


(11)/(5)=y


y=(11)/(5) (Answer)

User Spielberg
by
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