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

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Simultaneous equations in two unknowns
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What makes simultaneous equations 'simultaneous'?

Both must be true at same time

What does the intersection point on a graph represent for simultaneous equations?

The unique solution (x,y)(x, y)

What is a limitation of the graphical method for solving simultaneous equations?

Hard to read exact non-integer answers

When does substitution method work particularly well?

Variable already isolated in equation

How many solutions do you typically get with simultaneous equations involving a curve?

Two solutions

What is the correct way to write solutions for simultaneous equations?

As complete coordinate pairs

With quadratic systems, which equation should you substitute back into to find yy?

The linear equation

When is elimination method most efficient?

Both equations linear, standard form

In elimination, when should you add the equations?

When coefficients have opposite signs

In elimination with 3x+2y=103x + 2y = 10 and 3x−5y=173x - 5y = 17, what should you do?

Subtract the equations

Why convert to pence when solving money problems with simultaneous equations?

To avoid decimal arithmetic

Which method is best when one variable is already isolated in an equation?

Substitution

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