Simultaneous Equations (Junior Cert Mathematics): Quizzes

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Simultaneous Equations
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What are simultaneous equations?

Equations with same variables

What is the goal when solving simultaneous equations?

Find values making all equations true

What do solutions to simultaneous equations give you on a graph?

Coordinates of point of intersection

What is a common method for solving simultaneous equations at Junior Cycle level?

Elimination method

What does the elimination method involve?

Adding/subtracting to cancel a variable

Why might you multiply equations before using elimination?

To make a variable cancel out

What is the first step in the elimination method?

Label the equations

What should you make the same when using elimination?

Coefficients of one variable

What happens when you add the equations in elimination?

One variable cancels out

After finding the value of one variable, what should you do?

Substitute into an original equation

Why should you check your solutions?

To confirm no errors were made

In the example, what equation resulted after adding 4x6y=144x - 6y = 14 and 9x+6y=129x + 6y = 12?

13x=2613x = 26

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