Simultaneous Equations with Three Unknowns (Leaving Cert Mathematics): Quizzes

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Simultaneous Equations with Three Unknowns
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How many variables are in a system of three linear equations?

Three

What do equations of three variables represent geometrically?

A plane

What does solving three equations in three unknowns mean?

Finding the point of intersection

What is the most common method to solve three equations in three unknowns?

Elimination method

What is the first step in the elimination method?

Pick two equations, eliminate a variable

In step 2 of elimination, which variable should you eliminate?

The same variable

What are you left with after step 2 of the elimination method?

Two equations, two unknowns

After solving for two variables, what should you do?

Substitute into an original equation

In the worked example, what is the value of zz?

6

In the worked example, what is the value of xx?

0

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