In a shop, two offers are modeled by \(x+2y=18\) and \(x+y=11\). What is their common point on the graph?

Question

Answer and explanation

Correct answer: Point \(\left(4,7\right)\)

Subtracting the second from the first gives \(y=7\), then \(x+7=11\) gives \(x=4\). In any context, the common point is the solution.

What is the correct answer to this question?

Point \(\left(4,7\right)\)

Why is this the correct answer?

Subtracting the second from the first gives \(y=7\), then \(x+7=11\) gives \(x=4\). In any context, the common point is the solution.

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..