Question
Download Solution PDFसमीकरण 3x + 2y - 6z = 1, 2x - 3y + 3z = -1, x - 4y + z = -6 के निकाय हल है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
समीकरणों 3x + 2y - 6z = 1, 2x - 3y + 3z = -1, x - 4y + z = - 6 के निकाय
अवधारणा:
चरों के उन्मूलन की अवधारणा का प्रयोग कीजिए।
गणना:
समीकरणों का निकाय -
3x + 2y - 6z = 1
2x - 3y + 3z = -1
x - 4y + z = -6
3x + 2y - 6z = 1 के लिए x को अलग करें,
अब अन्य समीकरणों में प्रतिस्थापित करें,
सरलीकरण के बाद,
अब,
अब अन्य समीकरण में प्रतिस्थापित करें,
⇒ z = 1
z = 1 प्रतिस्थापित करने पर,
z = 1, y = 2 प्रतिस्थापित करने पर,
समीकरणों के निकाय का हल हैं:
x = 1, y = 2, z = 1
अतः विकल्प (4) सही है।
Last updated on May 26, 2025
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