a/x-b/y=0 ab2/x+a2b/y=a2+b2 by elimination method
Answers
Answered by
1
Answer:
value of x = a and y = b
Step-by-step explanation:
Given System of equations:
\frac{a}{x}-\frac{b}{y}=0
x
a
−
y
b
=0 ....................(1)
\frac{ab^2}{x}+\frac{a^2b}{y}=a^2+b^2
x
ab
2
+
y
a
2
b
=a
2
+b
2
..................(2)
Given equations are not linear.
let, 1/x = u and 1/y = v
we get
au - bv = 0 .....................(3)
ab²u + a²bv = a²+b² ................(4)
from equation 3,
u = bv/a
put this in eqn (4)
ab^2\times\frac{bv}{a}+a^2bv=a^2+b^2ab
2
×
a
bv
+a
2
bv=a
2
+b
2
b^3v+a^2bv=a^2+b^2b
3
v+a
2
bv=a
2
+b
2
(b^2+a^2)bv=a^2+b^2(b
2
+a
2
)bv=a
2
+b
2
v=\frac{1}{b}v=
b
1
u=\frac{b\times\frac{1}{b}}{a}=\frac{1}{a}u=
a
b×
b
1
=
a
1
So, 1/x = 1/a ⇒ x = a
and 1/y = 1/b ⇒ y = b
Therefore, value of x = a and y = b
Similar questions