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Class 10MathematicsPair of Linear Equations in Two VariablesGraphical method of finding solutions.Easy
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For the line \(x+2y=8\), what is the value of \(x\) when \(y=0\)?

Answer and explanation

Correct answer: 8

Substituting \(y=0\) in the equation gives \(x+2(0)=8\), so \(x=8\). Therefore, the x-intercept of the line is the point \((8,0)\). The value 4 may result from confusing the coefficient 2 with the required calculation. Exam tip: To find the x-intercept, always put \(y=0\).

Related tags

Linear EquationsX InterceptGraphical MethodCoordinate GeometryGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematics
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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. 8What is the graphical solution of (x+y=4) and (x-y=2)?
  9. 9At which point do the lines represented by the equations \(x+y=6\) and \(x-y=0\) intersect?
  10. 10If the point of intersection of two lines is (2, 4), what is the solution of the pair of equations?
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