Question

y-(7-8y)/9y-(3+4y)=2/3
Reduce it and solve for y. Verify

Answer 1

Step-by-step explanation:

We have, y – (7 – 8y)/9y – (3 + 4y) = 2/3

(y – 7 + 8y) / (9y – 3 – 4y) = 2/3

(-7 + 9y) / (5y – 3) = 2/3

Let us perform cross-multiplication we get,

3(-7 + 9y) = 2(5y – 3) -21 + 27y = 10y – 6 27y – 10y = 21 – 6 17y = 15 y = 15/17

Now let us verify the given equation,

y – (7 – 8y)/9y – (3 + 4y) = 2/3

By substituting the value of ‘y’ we get,

15/17 – (7-8(15/17))/ 9(15/17) – (3 + 4(15/17)) = 2/3 15/17 – (7 – 120/17) / 135/17 – (3 + 60/17) = 2/3

15/17 – ((119-120)/17) / 135/17 – ((51+60)/17) = 2/3 15/17 – (-1/17) / 135/17 – (111/17) = 2/23

((15 + 1)/17) / ((135-111)/17) = 2/3

16/17 / 24/17 = 2/3 16/24 = 2/3 2/3 = 2/3

Hence, the given equation is verified.