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Which point is obtained on the line \(x+5y=15\) when \(x=5\)?
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Answer and explanation
Correct answer: \((5,2)\)
Substituting \(x=5\) into the equation \(x+5y=15\) gives \(5+5y=15\). Hence, \(5y=10\) and \(y=2\). Therefore, the point is \((x,y)=(5,2)\). Exam tip: verify a proposed point by substituting both coordinates into the original equation.
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What is the correct answer to this question?
\((5,2)\)
Why is this the correct answer?
Substituting \(x=5\) into the equation \(x+5y=15\) gives \(5+5y=15\). Hence, \(5y=10\) and \(y=2\). Therefore, the point is \((x,y)=(5,2)\). Exam tip: verify a proposed 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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