At which point do the lines 2x + y = 13 and x + y = 9 intersect?
Answer and explanation
Correct answer: (4, 5)
Subtracting the second equation from the first gives x = 4. Substituting this in x + y = 9 gives 4 + y = 9, so y = 5. Therefore, the point of intersection is (4, 5). The distractor (3, 6) satisfies the second equation, but 2x + y = 12, not 13. In an exam, verify the ordered pair in both equations.
Frequently asked questions
What is the correct answer to this question?
(4, 5)
Why is this the correct answer?
Subtracting the second equation from the first gives x = 4. Substituting this in x + y = 9 gives 4 + y = 9, so y = 5. Therefore, the point of intersection is (4, 5). The distractor (3, 6) satisfies the second equation, but 2x + y = 12, not 13. In an exam, verify the ordered pair 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..
