Question

If x + 1/y = 5 and 2x + 3 /y = 13 . find the value of ( 2 x - 3y)

Answer 1

Answer:

(2x-3y) =1/3

Step-by-step explanation:

Given

x+1/y=5

2x+3/y=13

Solution

x+1/y =5

x+1=5y

x=5y-1

substitute this in 2x+3/y=13

2(5y-1)+3/y = 13

10y-2+3 =13y

10y+1 =13y

1= 13y-10y

1= 3y

y=1/3

x=5y-1

x= 5(1/3) -1

x= 5/3 -1

x= 2/3

put value of x and y in 2x-3y

= 2(2/3)-3(1/3)

= 4/3-3/3

= 1/3

Answer 2

Answer: 1/3

Step-by-step explanation:

x+1/y=5

x-5y+1=0   1st equation

2x+3/y=13

2x-13y+3=0   2nd equation

From Equation 1 and 2

2x-10y+2=0  ----> 1st equation multiplied by 2

2x-13y+3=0 ------>  2nd equation

(-)  (+)  (-)

------------------

0+3y-1=0----->   y=1/3

Substitute y=1/3 in 1st equation

x-5.1/3+1=0

x-5/3+1=0

x-5+3/3=0

x=2/3

Now substitute value of x and y in (2x-3y)

2.2/3-3.1/3

= 4/3-1

= 4-3/3

= 1/3

THE ANSWER OF THE QUESTION IS 1/3