Solve: `4x+6/y=15` `6x-8/y=14` and hence find p if `y=p x-2`

Explanation

The given equation are `4x + (6)/(y) = 15` ….(1)
and `6x - (8)/(y) = 14 ….(2)`
Multiplying equation (1) by 4 and (2) by 3, we get
`16x + (24)/(y) = 60` ….(3)
`18x - (24)/(y) = 42 ….(4)`
Adding equations (3) and (4), we get
34x = 102 implies x = 3
Substituting x = 3 in equation (1), we get
`4 xx 3 + (6)/(y) = 15`
implies `(6)/(y) = 15 - 12`
implies `(6)/(y) = 3`
implies 3y = 6
or y = 2
Hence, the solution is `{:(x = 3),(y = 2):}}`