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What is the intersection point of \(3x+y=17\) and \(x+3y=19\)?

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Answer and explanation

Correct answer: Point \(\left(4,5\right)\)

Substituting \(\left(4,5\right)\) gives \(3\left(4\right)+5=17\) and \(4+3\left(5\right)=19\). This is the common point of both lines.

Tags

intersectioncommon pointgraphical method

Frequently asked questions

What is the correct answer to this question?

Point \(\left(4,5\right)\)

Why is this the correct answer?

Substituting \(\left(4,5\right)\) gives \(3\left(4\right)+5=17\) and \(4+3\left(5\right)=19\). This is the common point of both lines.

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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