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If 9x − 5y = 21 and 2x + 5y = 23, what is the value of x − y?यदि 9x − 5y = 21 और 2x + 5y = 23, तो x − y का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 11
Adding the equations eliminates y and gives 11x = 44, so x = 4. Substituting into 2x + 5y = 23 gives 8 + 5y = 23, so y = 3. Thus, x − y = 4 − 3 = 1.दोनों समीकरणों को जोड़ने पर y समाप्त हो जाता है और 11x = 44 मिलता है, इसलिए x = 4। इसे 2x + 5y = 23 में रखने पर 8 + 5y = 23, अतः y = 3। इसलिए x − y = 4 − 3 = 1।
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