Which point lies on both lines \(x-3y=-8\) and \(3x+y=20\)?

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Answer and explanation

Correct answer: Point \(\left(\frac{52}{10},\frac{22}{5}\right)\)

Solving both equations gives \(y=\frac{22}{5}\) and \(x=\frac{26}{5}\). \(\frac{52}{10}\) can also be written as \(\frac{26}{5}\).

What is the correct answer to this question?

Point \(\left(\frac{52}{10},\frac{22}{5}\right)\)

Why is this the correct answer?

Solving both equations gives \(y=\frac{22}{5}\) and \(x=\frac{26}{5}\). \(\frac{52}{10}\) can also be written as \(\frac{26}{5}\).

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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