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3a Classroom
Flip

Aim: To explore simultaneous linear equations.
Instruction: • Explore by yourself before the lesson begins and discuss in groups
of four during the lesson.
• Open the folder downloaded from page vii.

1. Open the file intersecting.ggb using GeoGebra.
2. Click on both the boxes to display the
straight line graph for the equations
x + y = 7 and 2x + y = 12.
3. Observe the two straight lines displayed
and state the point of intersection (x, y)
of both the straight lines.

4. Determine whether the point of intersection (x, y) is the solution for both the
CHAPTER
6 linear equations.

From the results of Exploration Activity 3a, it is found that the point of intersection of the
two straight lines is the common pair of solutions for both the linear equations.
Linear equations x + y = 7 and 2x + y = 12 are simultaneous linear equations in
two variables because both the linear equations have two similar variables.

The solution of simultaneous linear equations that has one point of intersection is
known as a unique solution.

3b Classroom
Flip

Aim: To explore simultaneous linear equations.
Instruction: • Explore by yourself before the lesson begins and discuss in groups
of four during the lesson.
• Open the folder downloaded from page vii.

1. Open the file parallel.ggb using GeoGebra.
2. Click on both the boxes to display the
straight line graph for the equations
2x – 3y = – 6 and 4x – 6y = 18.
3. Observe the two straight lines displayed.

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Chapter 6

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