Gr 11 Math Ch 2: Simultaneous Equations
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Gr 11 Math Ch 2: Simultaneous Equations

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@GreatestTiger

Questions and Answers

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

n

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

It provides a visual representation of the solution.

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

To eliminate one of the variables by substituting into the other equation.

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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