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solve the following pair of linear equation by the method of cross multiplication (a+b) x+(a-b) y=a² + 2ab-b²;a=0 |
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Answer» (a−b)X+(a+b)y=a 2 −2ab−b 2 ----- (i)(a+b)(x+y)=a 2 +b 2 -------- (ii)SUBTRACTING eq (i) by eq (ii), we get.⇒(a−b)x−(a+b)x=a 2 −2ab−b 2 −a 2 −b 2 ⇒−2bx=−2bx(a+b)⇒x=(a+b)∴(a+b)(a+b+y)=a 2 +b 2 ⇒(a+b) 2 +(a+b)y=a 2 +b 2 ⇒y= a+b−2ab ANS. |
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