Question

if 3x+2y=10 and 2x+3y=15 find the value of x-y. ​

Answer 1

3x + 2y = 10 ...(i)

2x + 3y = 15 ..ii) 

Adding equation  (i) and (ii)

 3x + 2y = 10 

 2x + 3y = 15

_________________

 5x + 5y = 25

∴ 5 (x + y) = 25

x+y=25/5

∴ x + y = 5

Answer 2

Given:

Two linear equation are given 3x +2y =10 and 2x +3y =15

To Find:

What is value of x and y which satisfied both above equation?

Solution:

3 x +2 y =10                    ...1)

2 x +3 y =15                   ...2)

Multiply by 3 in equation 1) and multiply by 2 in equation 2), we get:

9 x + 6 y = 30               ...3)

4 x + 6 y = 30               ...4)

Subtract equation 4) from equation 3), we get:

9 x + 6 y = 30              

4 x + 6 y = 30

-       -         -

                         

5 x + 0 = 0

So

x = 0

Putting value of x in equation 1):

3 x +2 y =10

3 × 0 +2 y =10    (put x =0)

2 y = 10

So

y = 5

If 3x +2y =10 and 2x +3y =15 then the value of x and y are 0 and 5.