solve the following pair of equation by reducing them to a pair of linear equation
(vii)
10 2
+
=4
x + y X-y
15 5
=-2
xty x- y
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2
Answer:
Let
x+y
1
=u&
x−y
1
=v
then
(10u+2v=4)3
(15u−5v=−2)2
10u+2=4
u=
5
1
−(30u−10v=−4)
__________________
16v=16
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v=1;u=
5
1
=0.2
x+y
1
=
5
1
;x+y=5
x−y
1
=1;x−y=1
x+y=5
x−y=1
_________
2x=6
_________
x=3&y=2
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