Simultaneous Equations (Leaving Cert Mathematics): Quizzes

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Simultaneous Equations
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What are simultaneous equations?

Equations with the same solution values

What is the primary technique for solving simultaneous equations?

Elimination method

What is the first step when using the elimination method?

Number the equations

What is the most critical step in the elimination method?

Making coefficients equal

After eliminating a variable, what should you do next?

Solve for remaining variable

Why should you verify your solution?

Check it satisfies both equations

What should you do first when dealing with fractions in equations?

Clear fractions by multiplying

How do you clear fractions from an equation?

Multiply by LCM of denominators

Which variable should you choose to eliminate first?

One requiring least manipulation

For 3x+y=93x + y = 9 and 2x−y=12x - y = 1, what values satisfy both equations?

x=2x = 2, y=3y = 3

What must be true about the solution to a system of simultaneous equations?

Same values work for all equations

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