Two lines \(x+y=8\) and \(3x+y=14\) meet at the point:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \((3, 5)\)
The point where two lines meet lies on both, so its coordinates satisfy both equations at once. Both equations have the term \(y\), so subtracting one from the other removes it.
First line: \(x+y=8\) (1)
Second line: \(3x+y=14\) (2)
Subtracting (1) from (2), the \(y\) terms cancel: \(2x=6\), so \(x=3\)
Putting \(x=3\) in (1): \(y=8-3=5\)
