Question
Download Solution PDFसमीकरणे 147x - 231y = 525 आणि 77x - 49y = 203 यांच्या आलेखांचा छेदनबिंदू खालीलपैकी कोणत्या समीकरणाच्या आलेखावर आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
147x - 231y = 525
77x - 49y = 203
वापरलेले सूत्र:
छेदनबिंदू शोधण्यासाठी, समीकरणांची प्रणाली सोडवा.
गणना:
दुसरे समीकरण 3 ने गुणा:
⇒ 231x - 147y = 609
आता रूपांतरित केलेल्या दुसऱ्या समीकरणापासून पहिले समीकरण वजा करा:
⇒ (231x - 147y) - (147x - 231y) = 609 - 525
⇒ 84x + 84y = 84
⇒ x + y = 1
पहिल्या समीकरणात x + y = 1 वापरून:
⇒ 147x - 231(1 - x) = 525
⇒ 147x - 231 + 231x = 525
⇒ 378x = 756
⇒ x = 2
x = 2 वापरून x + y = 1 मध्ये:
⇒ 2 + y = 1
⇒ y = -1
तर, छेदनबिंदू (2, -1) आहे.
आता तपासा की कोणते समीकरण बिंदू (2, -1) समाधान करते:
9x - 5y = 23 साठी:
⇒ 9(2) - 5(-1) = 18 + 5 = 23
∴ योग्य उत्तर पर्याय 1 आहे.
Last updated on Dec 9, 2024
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