Question

solve the linear equations
(a-b)x + (a+b)y = a² - 2ab - b²
(a+b)(x+y) = a²+b²

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Answer 1

(a-b)x+(a+b)y=a^2-2ab-b^2____(1)
(ax+bx+ay+by)=a^2+b^2
(a+b)x+(a+b)=a^2+b^2___(2)
By Elimination method
(a-b)x+(a+b)y=a^2-2ab-b^2
(-)(a+b)x+(a+b)y=a^2+b^2
_____________________
(-2b)x=-2(ab+b^2)
bx=ab+b^2
x=a+b
From equ 2
(a+b) (a+b)+(a+b)y=a^2+b^2
(a+b)y=a^2+b^2-a^2-b^2-2ab
(a+b)y=-2ab
y=-2ab/(a+b)

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Answer 2

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