Which point on the line \(4x+y=17\) is obtained when \(y=1\)?
Answer and explanation
Correct answer: (4, 1)
Substituting \(y=1\) in \(4x+y=17\) gives \(4x+1=17\), so \(4x=16\) and \(x=4\). Hence, the ordered pair is \((4,1)\). Option B reverses the order of the coordinates, while options C and D do not satisfy the equation. Exam tip: verify a point by substituting both coordinates into the original equation.
Frequently asked questions
What is the correct answer to this question?
(4, 1)
Why is this the correct answer?
Substituting \(y=1\) in \(4x+y=17\) gives \(4x+1=17\), so \(4x=16\) and \(x=4\). Hence, the ordered pair is \((4,1)\). Option B reverses the order of the coordinates, while options C and D do not satisfy the equation. Exam tip: verify a point by substituting both coordinates into the original 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..
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