Given `4x + 5y = 37` (1)
and `5x + 4y = 35` (2)
Step 1: Adding both equations, we get
`9x + 9y = 72`
`rArr 9(x +y) = 9 xx 8`
`rArr x +y = 8` (3) ltbr gt Step 2: Subtracting Eq. (2) from the Eq. (1) ,
`(4x + 5y) - (5x + 4y) = 37 - 35`
`rArr -x + y = 2` (4)
Step 3: Adding the Eqs. (3) and (4)
`(x +y) + (-x +y) = 8 + 2`
`rArr 2y = 10 rArr y = 5`
Substituting `y = 5` in any of the Eqs. (1), (2), (3) or (4), we get x = 3
`:.` The solution of the pair of equations is (x, y) i.e., (3, 5)
