If the graphical intersection point of the lines \(4x-y=11\) and \(x+y=4\) is \((p,q)\), what is the value of \(p-q\)?
Answer and explanation
Correct answer: 2
The intersection point of the two graphs satisfies both equations. Adding the equations gives \(5x=15\), so \(x=p=3\). Substituting this into \(x+y=4\) gives \(y=q=1\). Hence, \(p-q=3-1=2\), so option B is correct. Exam tip: The intersection of the graphs can be found efficiently by solving the two linear equations simultaneously.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
The intersection point of the two graphs satisfies both equations. Adding the equations gives \(5x=15\), so \(x=p=3\). Substituting this into \(x+y=4\) gives \(y=q=1\). Hence, \(p-q=3-1=2\), so option B is correct. Exam tip: The intersection of the graphs can be found efficiently by solving the two linear equations simultaneously.
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..
