Simultaneous equations in three unknowns (AQA GCSE Further Maths): Quizzes

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Simultaneous equations in three unknowns
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How many equations do you need to find unique values for three unknowns?

Exactly three equations

What are the three variables usually called in three-unknown problems?

xx, yy, zz

What is the key rule for Steps 1 and 2 of the elimination method?

Eliminate the same variable

In Step 1, what should you do?

Combine two equations to eliminate one variable

After completing Steps 1 and 2, what do you have?

Two equations with two unknowns

What do you do in Step 4 of the method?

Substitute back to find third variable

Which variable should you choose to eliminate first?

The easiest one to eliminate

How should you verify your final solution?

Substitute into all three originals

What might you need to do before applying the elimination method?

Rearrange equations into standard form

Why should you show working clearly in exams?

For partial marks even with errors

What is true about the elimination method?

It's systematic and reliable

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