Question

solve the following pair of linear equation by the elimination method 2x+3y=7,3x-2y=3.

Answer 1

ur answer is here. there are many solutions for a linear equations with 2 variables.
I wrote only 2
if x has a value then y will have a corresponding value and vise versa

Answer 2

2x+3y=7       ...(1)
3x-2y=3        ...(2)

we first need to make either x or y equal in both equations

on multiplying (1) with 3 and (2) with 2
We get,
6x+9y=21    ...(3)
6x-4y=6       ...(4)

By elimination method,

 6x+9y= 21
-6x+4y=-6  
o  +13y=15
13y=15
y=15/13

on putting y=15/13 in (1)
2x+3(15/13)=7
2x+45/13=7
2x=7-45/13
2x=(91-45)/13
2x=46/13
x=46/26
x=23/13

Here is your answer buddy.