# Solve for x and y :-x/a^2 + y/b^2 = 2x/a + y/b = a + b Thanks.

SHAIK AASIF AHAMED
8 years ago
Hello student,
Given Equations are
x/a^2 + y/b^2 = 2..........(1)
x/a + y/b = a + b...........(2)
Simplifying equations (1) and (2) by taking lcm we get
b2x+a2y=2a2b2..........(4)
bx+ay=a2b+ab2........(3)
Multiplying equation 3 with b we get
b2x+aby=a2b2+ab3..........(5)
b2x+a2y=2a2b2............(6)
subtracting 5 from 6 we get
y=b2and substituting y=b2inx/a + y/b = a + b we get x=a2
so x=a2and y=b2

Siddharth Gurla
16 Points
8 years ago
I did not understand the Subtracting (5) from (6) part.
SHAIK AASIF AHAMED
8 years ago

Hello student,
Given Equations are
x/a^2 + y/b^2 = 2..........(1)
x/a + y/b = a + b...........(2)
Simplifying equations (1) and (2) by taking lcm we get
b2x+a2y=2a2b2..........(4)
bx+ay=a2b+ab2........(3)
Multiplying equation 3 with b we get
b2x+aby=a2b2+ab3..........(5)
b2x+a2y=2a2b2............(6)
subtracting 5 from 6 we get
(ab-a2)y=ab3-a2b2
a(b-a)y=ab2(b-a)
After cancelling a(b-a) on both sides we get
y=b2
substituting y=b2in x/a + y/b = a + b we get x=a2
I think you will understand it now
Siddharth Gurla
16 Points
8 years ago
Dear Sir ,

Just wanted to let you know that I have understood the solution,
SHAIK AASIF AHAMED