Gr 11 Math Ch 2: Simultaneous Equations
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Questions and Answers

How many independent equations are required to solve for the values of n unknown variables?

  • n (correct)
  • 2n
  • n - 1
  • n + 1

    • What is the primary benefit of using the graphical method to solve systems of equations?

  • It allows us to find the exact values of the variables.
  • It can only be used for linear equations.
  • It is faster than the substitution and elimination methods.
  • It provides a visual representation of the solution. (correct)

    • In the substitution method, what is the goal of step 2?

  • To find the solution to one of the variables.
  • To express both variables in terms of each other.
  • To eliminate one of the variables by substituting into the other equation. (correct)
  • To equate the two equations.

    • What is the first step in solving systems of equations using the elimination method?

    <p>Make one of the variables the subject of both equations.</p> Signup and view all the answers

    When solving systems of equations graphically, what should be done to each equation?

    <p>Make y the subject of each equation.</p> Signup and view all the answers

    What is the final step in solving systems of equations using the substitution method?

    <p>Substitute the solution back into the original equation.</p> Signup and view all the answers

    Which method of solving simultaneous linear equations is best suited for systems involving linear and non-linear equations?

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

    What is the outcome of solving the second equation in the substitution method?

    <p>Reducing the number of variables by one</p> Signup and view all the answers

    What is the purpose of making y the subject of each equation in the graphical method?

    <p>To draw the graphs on the same system of axes</p> Signup and view all the answers

    What is the benefit of using the elimination method?

    <p>It reduces the number of equations and variables by one</p> Signup and view all the answers

    What do the points of intersection on a graphical representation of a system of equations represent?

    <p>The solutions to the system of equations</p> Signup and view all the answers

    What is the result of solving one equation in terms of the other in the substitution method?

    <p>Reducing the number of variables</p> Signup and view all the answers

    What is the primary advantage of using the substitution method to solve systems of simultaneous equations?

    <p>It is more efficient when dealing with non-linear equations.</p> Signup and view all the answers

    What is the outcome of equating the two equations in the elimination method?

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

    Why is it necessary to have n independent equations to solve for n unknown variables?

    <p>Because each equation constrains the solution space.</p> Signup and view all the answers

    What is the primary benefit of using the graphical method to visualize the solution to a system of equations?

    <p>It allows for the visualization of the solution space.</p> Signup and view all the answers

    In the substitution method, what is the purpose of expressing one variable in terms of the other?

    <p>To eliminate one of the variables.</p> Signup and view all the answers

    What is the relationship between the points of intersection on a graphical representation of a system of equations and the solution to the system?

    <p>The points of intersection represent the solution to the system of equations.</p> Signup and view all the answers

    What is the main advantage of using the substitution method to solve systems of simultaneous equations?

    <p>It reduces the number of equations and variables by one in the first step</p> Signup and view all the answers

    Why is the graphical method useful for solving systems of equations?

    <p>It provides a visual representation of the solution</p> Signup and view all the answers

    What is the result of solving one equation in terms of the other in the substitution method?

    <p>A system of one equation with one variable</p> Signup and view all the answers

    What is the purpose of equating the two equations in the elimination method?

    <p>To eliminate one variable and reduce the system</p> Signup and view all the answers

    What is the outcome of solving the system of equations graphically?

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

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