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यदि 2x + y = 13 तथा 4x - y = 17 है, तो (x - y) का मान ज्ञात कीजिए।

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दिए गए समीकरण हैं:

\(2 + y = 13 \quad ....(\text i)\)

\(4x - y = 17\quad....(\text{ii})\)

दोनों समीकरणों को जोड़ने पर,

\(6x = 30\)

\(x = \frac{30}6 = 5\)

अब समीकरण (i) में x = 5 प्रतिस्थापित करने पर

\(2x + y = 13\)

\(2(5) + y = 13\)

\(10 + y = 13\)

\(y = 13 - 10\)

\(\therefore y = 3\)

अब (x - y) में x = 5 और y = 3 प्रतिस्थापित करने पर

\(x - y= 5 - 3 = 2\)

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