2/x + 3/y =13 and 5/x - 4/y =-2
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Answer:
Given pair of linear equations is
x
2
+
y
3
=13..(i)
x
5
−
y
4
=−2...(ii)
On multiplying Eq.(i) by 5 and Eq. (ii) by 2 to make the coefficients of x equal, we get the equations
x
10
+
y
15
=65...(iii)
x
10
−
y
9
=−4...(iv)
On subtracting Eq.(i) and Eq.(ii), we get
x
10
−
y
8
−
x
10
−
y
15
=−4−65
⇒−
y
8
−
y
15
=−69
⇒
−69
−23
=y
⇒
69
23
=y
⇒y=
2
1
On putting y=
2
1
in Eq. (ii) we get
x
5
−
y
4
=−2
⇒
x
5
−
2
1
4
=7
x
5
−8=7⇒
x
5
=15
x=
3
1
Hence, x=
3
1
and y=
2
1
, which is required
Step-by-step explanation:
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