Solve the following pairs of linear equations by the method of substitution:

multiplying 6 to L.H.S and R.H.S to the first equation to remove fraction
we get,
9x – 10y = –12 …[1]
multiplying 6 to L.H.S and R.H.S to the second equation to remove fraction
we get, 2x + 3y = 13
⇒
…[2]
Substituting eq[2] in eq[1]
⇒ ![]()
⇒ 27x – 130 + 20x = –36
⇒ x = 2
Using this result in eq[2]
![]()
⇒ y = 3
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if 3 is added to both the numerator and the denominator. If 5 is added to the numerator and the denominator, it becomes
, Find the fraction.