Solve the following linear equation.
ax+by=a-b; ax-by=a+b
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ax+by=a-b...........(1)
ax-by=a+b...........(2)
Add(1)&(2)
2ax+by-by=2a-b+b
2ax=2a
Divide by 2a both the sides
x=1
Subtract (2)from(1)
2by=-2b
Divide by 2b both sides
y=-1
ax-by=a+b...........(2)
Add(1)&(2)
2ax+by-by=2a-b+b
2ax=2a
Divide by 2a both the sides
x=1
Subtract (2)from(1)
2by=-2b
Divide by 2b both sides
y=-1
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