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Class 10MathematicsPair of Linear Equations in Two VariablesGraphical method of finding solutions.MediumLevel 54
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At which point do the lines \(2x+5y=21\) and \(x+y=6\) meet?

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Answer and explanation

Correct answer: Point \(\left(3,3\right)\)

At \(\left(3,3\right)\), \(2\left(3\right)+5\left(3\right)=21\) and \(3+3=6\). This is the common point of both lines.

Related tags

Common PointIntersectionLinear Equations

Frequently asked questions

What is the correct answer to this question?

Point \(\left(3,3\right)\)

Why is this the correct answer?

At \(\left(3,3\right)\), \(2\left(3\right)+5\left(3\right)=21\) and \(3+3=6\). This is the common point of both lines.

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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10 more MCQs
  1. 1In graphical method, what does the point of intersection of two lines represent?
  2. 2If two lines meet at exactly one point on the graph, how many solutions are there?
  3. 3If two lines are parallel and never meet, what is the solution of the pair of equations?
  4. 4If two lines coincide on the graph, how many solutions will the pair have?
  5. 5Which point lies on the line (x+y=5)?
  6. 6Which point is correct for the equation (x-y=1)?
  7. 7In the equation of the line 2x + y = 6, what is the value of y when x = 0?
  8. 8For the line \(x+2y=8\), what is the value of \(x\) when \(y=0\)?
  9. 9What is the graphical solution of (x+y=4) and (x-y=2)?
  10. 10At which point do the lines represented by the equations \(x+y=6\) and \(x-y=0\) intersect?
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