दो चर वाले रैखिक समीकरण युग्म

निम्न रैखिक समीकरणों के युग्मों को हल कीजिए: - Wired Faculty

Question

निम्न रैखिक समीकरणों के युग्मों को हल कीजिए:

$straight x over straight a space minus space straight y over straight b space equals space 0 ax space plus space by space equals space straight a squared space plus space straight b squared$

Solution

straight x over straight a space minus space straight y over straight b space equals space 0 space space space space space space space space space space space space space space space space space space space space... left parenthesis straight i right parenthesis ax space plus space by space equals space straight a squared space plus space straight b squared space space space space space space space space space space space space space space space... left parenthesis ii right parenthesis

समीकरण (i) से

straight y over straight b space equals space straight x over straight a rightwards double arrow space straight y space equals space straight b over straight a space straight x space space space space space space space space space space space space space space space space space space.... left parenthesis iii right parenthesis

y का मान समीकरण (ii) में रखने पर

ax space plus space straight b open parentheses space straight b over straight a space straight x space close parentheses space equals space straight a squared space plus space straight b squared rightwards double arrow space space ax space plus space straight b squared over straight a straight x space equals space straight a squared space plus space straight b squared rightwards double arrow space straight a squared straight x space plus space straight b squared straight x space equals space straight a left parenthesis space straight a squared space plus space straight b squared space right parenthesis rightwards double arrow space space straight x space equals space fraction numerator straight a open parentheses space straight a squared space plus space straight b space squared close parentheses over denominator straight a squared space plus space straight b squared end fraction space equals space straight a

x का मान समीकरण (iii) में रखने पर

straight y space equals space straight b over straight a straight x rightwards double arrow space space straight y space equals space straight b over straight a space cross times space straight a space equals space straight b

X= a, y = b