Question

4/x+3/y=1 8/x-9/y=7 solve

Answer 1

Answer:

x=1/2,y=1

Step-by-step explanation:

4/x+3/y=18

8/x-9/y=7

let 1/x=a

1/y=b

then.4a+3b=18

8a-9b=7

1*2 then 8a+6b=18

8a-9b=7

by solving b=1

a=2

so.x=1/2

y=1

Answer 2

Given

4/x+3/y=1 8/x-9/y=7

Solve it

To find

Find the value of x and y

Solution

• 4/x + 3/y = 1
• 8/x - 9/y = 7

Let 1/x = A and 1/y = B

Equation becomes

• 4A + 3B = 1 ----(i)
• 8A - 9B = 7 --(ii)

Multiply (i) by 3 and (ii) by 1

• 12A + 9B = 3
• 8A - 9B = 7

Adding both the equation

=> (12A + 9B) + (8A - 9B) = 3 + 7

=> 12A + 9B + 8A - 9B = 10

=> 20A = 10

=> A = 10/20 = 1/2

By substitution method

Substitute the value of A in equation (i)

=> 4A + 3B = 1

=> 4×1/2 + 3B = 1

=> 2 + 3B = 1

=> 3B = 1-2

=> B = -1/3

Now,

=> 1/x = A

Putting the value of A

=> 1/x = 1/2

=> x = 2

Again

=> 1/y = B

Putting the value of B

=> 1/y = -1/3

=> y = -3

Hence , required value of x is 2

And required value of y is -3