Using the graphical method, which is the solution, or point of intersection, of the lines 2x − y = 6 and x + y = 3?
Answer and explanation
Correct answer: (3, 0)
Substituting (3, 0) into both equations gives 2(3) − 0 = 6 and 3 + 0 = 3. Therefore, the two lines intersect at (3, 0), which is the graphical solution. For example, (2, 1) satisfies the second equation, but in the first equation it gives 4 − 1 = 3, not 6. Exam tip: always verify the intersection point in both equations.
Frequently asked questions
What is the correct answer to this question?
(3, 0)
Why is this the correct answer?
Substituting (3, 0) into both equations gives 2(3) − 0 = 6 and 3 + 0 = 3. Therefore, the two lines intersect at (3, 0), which is the graphical solution. For example, (2, 1) satisfies the second equation, but in the first equation it gives 4 − 1 = 3, not 6. Exam tip: always verify the intersection point in 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..
