Given pair of linear equations in two variables are :
7x-3y = 8------------(1)
3x-4y = 1-------------(2)
On multiplying (1) with 3 then
21x-9y = 24 ---------(3)
On multiplying with 7 then
21x-28y = 7 ----------(4)
On subtracting (4) from (3) then
21x-9y = 24
21x-28y = 7
(-) (+) (-)
__________
0+19y = 17
__________
→ 19y = 17
→ y = 17/19
On substituting the value of y in (2) then
→ 3x-4(17/19) = 1
→ 3x -(68/19) = 1
→ (57x-68)/19 = 1
→ 57x-68 = 1×19
→ 57x -68 = 19
→ 57x = 19+68
→ 57x = 87
→ x = 87/57
Therefore, the value of x and y is 87/57 and 17/19 respectively.