Question

Solve :
4x + `6/y` = 15 and 3x - `4/y` = 7. Hence, find a if y = ax - 2.

Answer 1

4x + `6/y` = 15                           .....(1)

3x - `4/y` = 7                              .....(2)
Multiplying (1) by 4 and (2) by 6
16x + `24/y` = 60                       ....(3)

18x - `24/y` = 42                        ....(4)
Adding (3) and (4), We get
        16x + `24/y` = 60

+      18x - `24/y` = 42
                                         
         34x = 102
            x = 3
Substituting x = 3 in (1), We get
4(3) + `6/y` = 15

⇒ `6/y` = 15 - 12

⇒ y = `6/3` = 2
Now,
y = ax - 2
2 = a(3) - 2
3a = 4 
a = `4/3  = 1 1/3`