Simultaneous Equations (Grade 12 NSC Matric Mathematics): Quizzes

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Simultaneous Equations
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What are simultaneous equations?

Sets of equations solved together

What are the two main types of simultaneous equations?

Linear-linear and linear-quadratic

What do solutions of simultaneous equations represent geometrically?

Points where graphs intersect

Which method should be used for linear-quadratic simultaneous equations?

Substitution method

Why use the linear equation for substitution in Step 1?

Easier to express variable than quadratic

How many solution points do linear-quadratic systems typically give?

Two solution points

Why find intersections algebraically rather than from a graph?

Algebraic solutions are more accurate

Which methods can solve linear-linear simultaneous equations?

Substitution or elimination

When is substitution quicker than elimination for linear-linear systems?

When a variable has coefficient 1

What is usually required when solving the resulting quadratic equation?

Factorisation

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