Simultaneous Equations (Leaving Cert Mathematics): Quizzes

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Linear Simultaneous Equations
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What are simultaneous linear equations?

Two or more linear equations with multiple variables

What does solving equations 'simultaneously' mean?

Finding values satisfying all at once

On a graph, what does the point of intersection represent?

Point satisfying both equations

How many methods are there to solve simultaneous equations?

Two

What are the two methods for solving simultaneous equations?

Elimination and Substitution

In the elimination method, what is the first step?

Eliminate one variable

In the substitution method, what is the first step?

Solve for one variable

For 2x+3y=102x+3y=10 and 5x−4y=75x-4y=7, what results after elimination?

23y=3623y=36

What is yy in the system 2x+3y=102x+3y=10 and 5x−4y=75x-4y=7?

3623\frac{36}{23}

Do elimination and substitution give the same solution?

Yes, both methods give same result

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