Which point on the graph of \(5x+y=25\) is obtained when \(y=0\)?
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Answer and explanation
Correct answer: \((5,0)\)
Putting \(y=0\) gives \(5x+0=25\), so \(x=5\). Therefore, the point is \((5,0)\), the x-intercept of the line. Option A is the y-intercept because it is obtained by putting \(x=0\), which gives \(y=25\). Exam tip: set \(y=0\) to find the x-intercept and \(x=0\) to find the y-intercept.
Frequently asked questions
What is the correct answer to this question?
\((5,0)\)
Why is this the correct answer?
Putting \(y=0\) gives \(5x+0=25\), so \(x=5\). Therefore, the point is \((5,0)\), the x-intercept of the line. Option A is the y-intercept because it is obtained by putting \(x=0\), which gives \(y=25\). Exam tip: set \(y=0\) to find the x-intercept and \(x=0\) to find the y-intercept.
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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