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ax + by = a - b
bx - ay = a + b
Multiply equation 1 by a and equation 2 by b
a²x + aby = a² - ab
b²x - aby = ab + b²
Adding them
(a² + b²) x = (a² + b²)
x = 1
Now put x = 1 in equation 1, then y = -1
So, (1,-1) is the solution
bx - ay = a + b
Multiply equation 1 by a and equation 2 by b
a²x + aby = a² - ab
b²x - aby = ab + b²
Adding them
(a² + b²) x = (a² + b²)
x = 1
Now put x = 1 in equation 1, then y = -1
So, (1,-1) is the solution
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hi,
hope it helps.
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hope it helps.
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