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