solve by cross multiplication method MX - NY is equal to m^2+n^2; x+y = 2m
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Answer:
mx−ny=
m 2
n 2
(i)x+y=
2m⟶
(ii)
On simplification,
mx−
ny−
(m
2
+n
2
) =
0x+y−
2m=
0
On cross multiplication,
∣
∣
∣
∣
∣
∣
−n
1
− (m
2
+n
2
)
−2m
∣
∣
∣
∣
∣
∣
x
=
∣
∣
∣
∣
∣
∣
m
1
− (m
2
+n
2
)
−2m
∣
∣
∣
∣
∣
∣
−y
=
∣
∣
∣
∣
∣
∣m
1−n
1∣
∣
∣
∣
∣
∣
1
⇒
∣2mn+m
2
+n
2
∣
x
=
∣−2m
2
+m
2
+n
2
∣
−y
=
m+n
1
∴x=
m+n
(m+n) 2
=
m+
n
y=
m+n
(m
2
−n
2
)
=
m−
n
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