3x+2y=11 ------(a)
5x-4y=11 ------ (b)
Multiply the equation (a) by 2 and add it to equation (b)
2(3x + 2y) + 5x - 4y= 2*11 + 11
6x + 4y + 5x - 4y = 22 + 11
11x = 33
Dividing by 11 on both sides
x = 3
Put value of x in equation (a)
3*3 + 2y = 11
9 + 2y = 11
2y = 11 - 9
2y = 2
Dividing by 2 on both sides
y = 1
So, the values of x and y are 3 and 1 respectively.
5x-4y=11 ------ (b)
Multiply the equation (a) by 2 and add it to equation (b)
2(3x + 2y) + 5x - 4y= 2*11 + 11
6x + 4y + 5x - 4y = 22 + 11
11x = 33
Dividing by 11 on both sides
x = 3
Put value of x in equation (a)
3*3 + 2y = 11
9 + 2y = 11
2y = 11 - 9
2y = 2
Dividing by 2 on both sides
y = 1
So, the values of x and y are 3 and 1 respectively.