At which point do the lines x + 4y = 17 and 2x + 4y = 22 intersect?
Answer and explanation
Correct answer: (5, 3)
The intersection point must satisfy both equations. Subtracting the first equation from the second gives x = 5. Substituting this into the first equation, 5 + 4y = 17, so y = 3. Therefore, the graphical solution is (5, 3). Exam tip: Substitute each option into both equations for a quick check; (3, 5) does not satisfy the first equation.
Frequently asked questions
What is the correct answer to this question?
(5, 3)
Why is this the correct answer?
The intersection point must satisfy both equations. Subtracting the first equation from the second gives x = 5. Substituting this into the first equation, 5 + 4y = 17, so y = 3. Therefore, the graphical solution is (5, 3). Exam tip: Substitute each option into both equations for a quick check; (3, 5) does not satisfy the first equation.
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..
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
