On a map, two lines are \(2x+3y=23\) and \(x+3y=17\). What is their intersection point?

Question

Answer and explanation

Correct answer: Point \(\left(6,\frac{11}{3}\right)\)

Subtracting the equations gives \(x=6\), then \(6+3y=17\) gives \(y=\frac{11}{3}\). Fraction coordinates can also be graphical solutions.

What is the correct answer to this question?

Point \(\left(6,\frac{11}{3}\right)\)

Why is this the correct answer?

Subtracting the equations gives \(x=6\), then \(6+3y=17\) gives \(y=\frac{11}{3}\). Fraction coordinates can also be graphical solutions.

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..