Solving Simultaneous Equations (Grade 10 NSC Matric Mathematics): Quizzes

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Solving Simultaneous Equations
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How many independent equations are needed to solve for two unknown variables?

Two equations

When is the substitution method particularly useful?

When equation easily rearranged for 1 var

In substitution method, what do you do after expressing one variable in terms of the other?

Replace this variable in 2nd equation

What does the elimination method involve?

Making coefficients equal then add/subtract

In elimination, when should you subtract the equations?

When coefficients have same sign

What is the first step in the graphical method?

Rearrange into y=mx+cy = mx + c form

What does the intersection point represent in the graphical method?

The solution (x,y)(x, y) coordinates

What does it mean if two lines are parallel when solving graphically?

No solution exists

Why should you check your solution by substituting into both original equations?

To ensure it satisfies both equations

When is elimination often faster than substitution?

When coefficients are similar or easily made equal

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