Question

Class X
Maths


Solve the system of equations:
a(x + y) + b(x - y)
= a^2 - ab + b^2
a(x + y) - b(x - y)
= a^2 - ab + b^2

With Steps

Answer 1

1.ax+by=a-b
Multiply this equation to b
abx+b^2(y)=ab-b^2
bx-ay=a+b
Multiply it by a
abx-a^2(y)=a^2+ab
Solve both equations
Subtract it
y(a^2+b^2)=-(a^2+b^2)
y=-1
Second equation
bx-ay=a+b
Put value of y
bx+a=a+b
bx=b
x=1
So y=-1 and x=1

I HOPE IT WILL HELP YOU DEAR
THANKU