If two lines intersect at the point \((6,2)\), what is the solution of the pair of equations?
Answer and explanation
Correct answer: \((x,y)=(6,2)\)
In the graphical method, the point of intersection of two lines is the common solution of both equations. Since the intersection point is \((6,2)\), we have \(x=6\) and \(y=2\), so option D is correct. Option A incorrectly reverses the coordinates. Exam tip: In \((x,y)\), the first coordinate is always \(x\) and the second is \(y\).
Frequently asked questions
What is the correct answer to this question?
\((x,y)=(6,2)\)
Why is this the correct answer?
In the graphical method, the point of intersection of two lines is the common solution of both equations. Since the intersection point is \((6,2)\), we have \(x=6\) and \(y=2\), so option D is correct. Option A incorrectly reverses the coordinates. Exam tip: In \((x,y)\), the first coordinate is always \(x\) and the second is \(y\).
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..
