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Which point lies on both lines \(2x+5y=31\) and \(3x-y=7\)?
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Answer and explanation
Correct answer: ((4,3))
Substituting ((4,3)) gives \(2x+5y=31\) but not \(3x-y=7\); the true common point is \(\left(\frac{66}{17},\frac{79}{17}\right)\). Verify in both equations before choosing.
Frequently asked questions
What is the correct answer to this question?
((4,3))
Why is this the correct answer?
Substituting ((4,3)) gives \(2x+5y=31\) but not \(3x-y=7\); the true common point is \(\left(\frac{66}{17},\frac{79}{17}\right)\). Verify in both equations before choosing.
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..
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