Question

if X + Y is equal to a + b and x a x minus B Y is equal to a square minus b square then the value of x and y isif X + Y is equal to a + b and a x minus B Y is equal to a square minus b square, then value of x and y is ​

Answer 1

x+y= a+b. (1)

ax+by=a²-b². (2)

solving the equations by cross multiplication method,

multiply equation (1) by a

ax+ay= a²+ab

ax+by= a²-b²

- - - +

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ay+by= ab+b²

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y(a+b)= b(a+b)

y= b

substitute the value of y in equation (1)

x+b= a+b

x= a