Gr 10 Math Ch 2: Solving Simultanious Equations
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Questions and Answers

What is the primary requirement for solving simultaneous equations?

  • Two independent equations (correct)
  • One equation with two variables
  • A graphical representation of the equations
  • Two variables with the same coefficient

    • When using substitution to solve simultaneous equations, what is the first step?

  • Subtract one equation from another
  • Plot the equations on a graph
  • Eliminate one variable by adding equations
  • Express one variable in terms of the other (correct)

    • In the elimination method, what is done after making the coefficients of one variable the same?

  • Multiply both equations by zero
  • Subtract the equations to eliminate that variable (correct)
  • Add the equations to get a single variable equation
  • Graph both equations

    • What does solving simultaneous equations graphically reveal?

    <p>The coordinates of the intersection point of the graphs</p> Signup and view all the answers

    Which method simplifies the number of equations and variables in simultaneous equations?

    <p>Substitution method</p> Signup and view all the answers

    What is necessary for each of the variables in a system of simultaneous equations?

    <p>Independent equations are required for each variable</p> Signup and view all the answers

    What occurs after substituting one variable into the second equation when solving by substitution?

    <p>You reduce to one equation with one unknown variable.</p> Signup and view all the answers

    Which of the following accurately describes the goal of the elimination method?

    <p>To equalize the coefficients without altering the equations' balance.</p> Signup and view all the answers

    When solving simultaneous equations graphically, what represents the solution?

    <p>The point where the two graphs intersect.</p> Signup and view all the answers

    In solving for multiple unknown variables, what is required for each variable?

    <p>An independent equation for each variable.</p> Signup and view all the answers

    What is the result of using the substitution method correctly?

    <p>One variable expressed in terms of another.</p> Signup and view all the answers

    What must be done after solving the resulting equation in the elimination method?

    <p>Substitute the value in both original equations.</p> Signup and view all the answers

    What is true about simultaneous equations concerning the number of equations and unknown variables?

    <p>The number of independent equations must equal the number of unknown variables.</p> Signup and view all the answers

    When applying the substitution method, which sequence correctly follows the first step?

    <p>Express one variable in terms of the other before substituting.</p> Signup and view all the answers

    What is the key process that distinguishes the elimination method from the substitution method?

    <p>Elimination removes one variable by making coefficients the same.</p> Signup and view all the answers

    In graphical solutions of simultaneous equations, what does the intersection point represent?

    <p>The solution to both equations simultaneously in terms of their variables.</p> Signup and view all the answers

    What is a common misconception about the necessity of equations when solving for multiple unknown variables?

    <p>Each additional variable requires at least one independent equation.</p> Signup and view all the answers

    Which statement regarding the graphical method for solving simultaneous equations is incorrect?

    <p>The graphical method is solely based on calculating the slope of the equations.</p> Signup and view all the answers

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