Simultaneous Equations (Junior Cert Mathematics): Quizzes

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Simultaneous Equations
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What are simultaneous equations?

Equations sharing the same variables

What is the goal when solving simultaneous equations?

Find values making all equations true

What do solutions to simultaneous equations give when working with graphs?

Coordinates of intersection point

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

The elimination method

What does the elimination method involve?

Adding/subtracting to cancel a variable

Why might you multiply equations before adding them in the elimination method?

To make coefficients suitable to cancel

Why do we label equations as Equation A and Equation B in Step 1?

To keep track of them clearly

What happens when you add two equations with opposite coefficient signs for a variable?

That variable cancels out

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

Substitute back to find other variable

Why is it important to check your solutions in Step 6?

To confirm no errors were made

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

13x=2613x = 26

What is the correct order of main steps in the elimination method?

Label, multiply, add, solve, substitute

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