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Class 10MathematicsPair of Linear Equations in Two VariablesGraphical method of finding solutions.ExpertLevel 54

If (7x+8y=56) and (14x+16y=112), which statement about the solution set is correct?

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Answer and explanation

Correct answer: The solution set is the line (7x+8y=56)

The second equation is (2) times the first, so both are the same line. The solution is all points on that line, not the whole plane.

Tags

graphical methodsolution setcoincident linesconcept clarity

Frequently asked questions

What is the correct answer to this question?

The solution set is the line (7x+8y=56)

Why is this the correct answer?

The second equation is (2) times the first, so both are the same line. The solution is all points on that line, not the whole plane.

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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