At which point do the lines \(x=6\) and \(x+y=10\) intersect?
Answer and explanation
Correct answer: (6, 4)
Since the first line is \(x=6\), the x-coordinate of the intersection must be 6. Substituting this in the second equation gives \(6+y=10\), so \(y=4\). Therefore, the intersection point is \((6,4)\). In \((6,10)\), the value of y has been incorrectly taken as 10. Exam tip: Always substitute the proposed point into both equations to verify it.
Frequently asked questions
What is the correct answer to this question?
(6, 4)
Why is this the correct answer?
Since the first line is \(x=6\), the x-coordinate of the intersection must be 6. Substituting this in the second equation gives \(6+y=10\), so \(y=4\). Therefore, the intersection point is \((6,4)\). In \((6,10)\), the value of y has been incorrectly taken as 10. Exam tip: Always substitute the proposed point into both equations to verify it.
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..
