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What is the point of intersection of the lines \(y=6\) and \(5x-2y=23\)?रेखाओं \(y=6\) और \(5x-2y=23\) का प्रतिच्छेद बिंदु क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Point \((7,6)\)बिंदु \((7,6)\)
At the intersection, both equations must hold. Since \(y=6\), substitute 6 for \(y\) in the second equation: \(5x-2(6)=23\), so \(5x=35\) and \(x=7\). Thus, the intersection point is \((7,6)\).प्रतिच्छेद बिंदु पर दोनों समीकरण सही होते हैं। चूँकि \(y=6\), इसे दूसरे समीकरण में रखने पर \(5x-2(6)=23\) मिलता है। इसलिए \(5x=35\) और \(x=7\)। अतः प्रतिच्छेद बिंदु \((7,6)\) है।
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