Solve for ‘x’ and ‘y’ by cross multiplication method. x/a+y/b=2 and ax -by = a^2-b^2
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Answers
Answered by
0
By cross-multiplication method, we have
⇒
b
−(a
2
+b
2
)
+2b
x
=
−2a+
a
(a
2
+b
2
)
y
=
a
b
−
b
a
1
⇒
−a
2
−b
2
+2b
2
bx
=
−2a
2
+a
2
+b
2
ay
=
b
2
−a
2
ab
⇒
b
2
−a
2
bx
=
b
2
−a
2
ay
=
b
2
−a
2
ab
I II III
On taking I and III ratio, we get
⇒
b
2
−a
2
ay
=
b
2
−a
2
ab
⇒x=a
Answered by
0
x/y+y/b = 2
=) xb+ya=2ab
x=2ab-ya/b ----- (i)
ax-by=a^2-b^2
=) x=a^2-b^2+by/a ----- (ii)
if i=ii , then
2ab-ya/b = a^2-b^2+by/a
=) 2a^2b-ya^2 = a^2-b^3+b^2y
=) a^2b-ya^2 = b^2y - b^3
=) a^2b+b^3=b^2y+ya^2
=) b(a^2+b^2)=y(b^2+a^2)
=) b=y
then put the value of y
x/a+y/b=2
=) x/a+b/b=2
=) x/a=1
=) x=a
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