Solve by the method of cross multiplication: (a – b) x + (a + b) y = a2-2ab-b2
,(a+b)(x+y)=a²+b².
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y=−2ab/a+b
Step-by-step explanation:
(a−b)x−(a+b)x=a2−2ab−b2−a2−b2
(a−b)x−(a+b)x=a2−2ab−b2−a2−b2 ⇒−2bx=−2bx(a+b)
(a−b)x−(a+b)x=a2−2ab−b2−a2−b2 ⇒−2bx=−2bx(a+b)⇒x=(a+b)
(a−b)x−(a+b)x=a2−2ab−b2−a2−b2 ⇒−2bx=−2bx(a+b)⇒x=(a+b)∴(a+b)(a+b+y)=a2+b2
(a−b)x−(a+b)x=a2−2ab−b2−a2−b2 ⇒−2bx=−2bx(a+b)⇒x=(a+b)∴(a+b)(a+b+y)=a2+b2 ⇒(a+b)2+(a+b)y=a2+b2
(a−b)x−(a+b)x=a2−2ab−b2−a2−b2 ⇒−2bx=−2bx(a+b)⇒x=(a+b)∴(a+b)(a+b+y)=a2+b2 ⇒(a+b)2+(a+b)y=a2+b2 ⇒y=−2ab/a+b
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