Solve 15x - 8y = 29 and 17x + 12y = 75.

Explanation

Given equations are 15x - 8y = 29 …(1)
and 17x + 12y = 75 …(2)
From equation (1), we get
`x = (29 + 8y)/(15) " "...(3)`
Substituting value of x from equation (3) in (2), we get
`17 ((29 + 8y)/(15)) + 21y = 75`
implies 493 + 136y + 180y = 1125
implies 316y = 1125 - 493
implies 316y = 632
implies y = 2
Substituting value of y in equation (3) we get
`x = (29 + 8 xx 2)/(15)`
`x = (45)/(15)`
implies x = 3
Hence, the solution is `{:(x = 3),(y = 2):}}`