What is the point of intersection of the graphs of \(x+2y=12\) and \(x+y=8\)? This point represents the graphical solution of the equations.
Answer and explanation
Correct answer: \((4,4)\)
Subtracting the second equation from the first gives \(y=4\). Substituting this into \(x+y=8\) gives \(x=4\), so the graphs intersect at \((4,4)\). Options B and D satisfy the second equation but not the first. Exam tip: Verify a graphical solution by substituting both coordinates into both equations.
Frequently asked questions
What is the correct answer to this question?
\((4,4)\)
Why is this the correct answer?
Subtracting the second equation from the first gives \(y=4\). Substituting this into \(x+y=8\) gives \(x=4\), so the graphs intersect at \((4,4)\). Options B and D satisfy the second equation but not the first. Exam tip: Verify a graphical solution by substituting both coordinates into both equations.
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..
