if x-4y/5x+y = 3 /5,find the value of x/3y.

Answer 1

x-4y / 5x+y = 3/5  Cross-multiply 

5(x-4y) = 3(5x+y) Distribute 

5x-20y = 15x+3y  Combine like terms on both side.

-10x = 23y  Solve for x  

x = -23y/10

To fine the value of x/3y, substitute in the x value:

x/3y 

(-23y/10)/3y  To cancel out 3y, multiple the denominator and the numerator by 1/3y

-23y/30y  The y's will cancel.

-23/30 

The value of x/3y is -23/30.