Solve 3x - y = 23 and `(x)/(3) + (y)/(4)` = 4.

Explanation

The given equations are 3x - y = 23 ….(1)
and `(x)/(3) + (y)/(4) = 4`
implies 4x + 3y = 48 ….(2)
Multiplying equation (1) by 3 and (2) by 1, we get
9x - 3y = 69 ….(3)
4x + 3y = 48 ….(4)
Adding equations (3) and (4), we get
13x = 117
implies x = 9
Substituting x = 9 in equation (1), we get
`3 xx 9 - y = 23`
implies 27 - y = 23
implies -y -4
implies y = 4
Hence, the solution is `{:(x = 9),(y = 4):}}`