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Class 10 Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions.HardLevel 53

Which point lies on both lines \(3x-2y=4\) and \(x+4y=22\)?

Answer and explanation

Correct answer: Point \(\left(\frac{15}{4},\frac{73}{16}\right)\)

From \(x+4y=22\), \(x=22-4y\), and substituting in the first equation gives \(y=\frac{73}{16}\). Then \(x=\frac{15}{4}\).

Tags

common pointfraction solutiongraphical method

Frequently asked questions

What is the correct answer to this question?

Point \(\left(\frac{15}{4},\frac{73}{16}\right)\)

Why is this the correct answer?

From \(x+4y=22\), \(x=22-4y\), and substituting in the first equation gives \(y=\frac{73}{16}\). Then \(x=\frac{15}{4}\).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..

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