Linear Equations in Two Variables Quiz
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Questions and Answers

Which of the following is a linear equation in two variables?

  • $rac{x}{2} + rac{y}{3} = 1$
  • $3x + 4 = 7y$
  • $2x - 3y = 5$ (correct)
  • $x^2 + y^2 = 25$
  • What is the solution to the linear equation $3x - 4y = 12$?

  • $(3, 2)$ (correct)
  • $(4, 0)$
  • $(0, -3)$
  • $(8, 6)$
  • If a linear equation in two variables has a unique solution, it means that the equation's graph is a?

  • Parabola
  • Hyperbola
  • Circle
  • Line (correct)
  • What does the graph of the linear equation $2x + 3y = 6$ look like?

    <p>A straight line</p> Signup and view all the answers

    If a linear equation in two variables has no solution, its graph will be?

    <p>Parallel lines</p> Signup and view all the answers

    Study Notes

    Linear Equations in Two Variables

    • A linear equation in two variables can be identified from a given equation.

    Solution of Linear Equations

    • The solution to the linear equation 3x - 4y = 12 is the point of intersection of the equation's graph with the coordinate plane.
    • A linear equation in two variables has a unique solution, which means its graph is a straight line.

    Graph of Linear Equations

    • The graph of the linear equation 2x + 3y = 6 is a straight line.
    • If a linear equation in two variables has no solution, its graph will be parallel lines that do not intersect.

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    Description

    Test your knowledge of linear equations in two variables with this quiz. Brush up on writing and solving linear equations and learn to represent them graphically.

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