Question

Solve:
(3y+4)/(2-6y)=2/5
Find the value of y.​

Answer 1

Answer:

The value of y is -8

Given:

\frac{3 y+4}{2-6 y}=-\frac{2}{5}2−6y3y+4=−52

To find:

The value of y

Solution:

The Given equation is  

\frac{3 y+4}{2-6 y}=-\frac{2}{5}2−6y3y+4=−52

On shifting the denominators to numerators, we get  

5(3 y+4)=-2(2-6 y)5(3y+4)=−2(2−6y)

Now, multiply 5 with (3y+4)(3y+4) and -2 with (2-6y)(2−6y) ,   we get,  

15y+20= -4+12y15y+20=−4+12y

Now, bring the y terms on left hand side and shift the constants on right hand side.

15y-12y= -4-2015y−12y=−4−20

3y= -243y=−24

y=-\frac{24}{3}=-8y=−324=−8

Therefore, the value of y = -8−8