Question 1: Elimination or Substitution Method?

Which method will you use for each pair of simultaneous linear equations? Explain your choices.

Pair A:
4x-3y=15
x+5y=-2

Pair B:
8x+2y=-2
16x-5y=23

Question 2: Answers. To check or not?

Do you check every pair of answers whenever you solve simultaneous linear equations? If you only check selectively, which kind of answers do you usually check?

How do you do your checking? Can you think of a faster way to do the checks?

[Habits of Mind: Striving for Accuracy]

Question 3: Graphical method

Why is it that the intersection point is the answer to the simultaneous linear equations? [Why is it not the point in yellow for example?]

[Habits of Mind: Metacognition]

Question 4: Why 'no solutions'?

Use your understanding of gradient to explain why there are no solutions to this pair of simultaneous equations, as shown on the graph.

[Habits of Mind: Metacognition]

Question 5: Extend the Learning....

The graph drawn shows a curve produced based on a quadratic equation.

With the curve in mind, how many answers do you think there will be for a pair of simultaneous equations where one is a quadratic equation and the other is a linear equation?