निम्न रैखिक समीकरणों के युग्मों को हल कीजिए:

$left parenthesis space straight a space minus space straight b space right parenthesis space straight x space left parenthesis space straight a space plus space straight b space right parenthesis space straight y space equals space straight a squared space minus space 2 space straight a space straight b space minus space straight b squared left parenthesis space straight a space plus space straight b space right parenthesis space left parenthesis space straight x space plus space straight y space right parenthesis space equals space straight a squared space plus space straight b squared$

Solution

x का मान समीकरण (ii) में रखने पर
(a + b)x + (a + b) y = a² + b²
⇒(a + b) (a + b) + (a + b)y = a² + b²
⇒ (a + b)² + (a + b)y = a² + b²
⇒(a + b)y = (a² + b²) - (a + b)²
⇒ (a + b)y = (a² + b²) - (a² + b² + 2ab)
⇒ (a + b)y = a² + b² - a² - b² - 2ab
⇒ (a + b)y = - 2ab
$rightwards double arrow space straight y space equals space fraction numerator negative space 2 ab over denominator straight a space plus space straight b end fraction$
$straight x space equals space straight a space plus space straight b comma space space space space space straight y space equals space fraction numerator negative space 2 ab over denominator straight a space plus space straight b end fraction$

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दो चर वाले रैखिक समीकरण युग्म

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