Page 150 - C:\Users\azizu\Documents\Flip PDF Professional\Matematics-Form-1-1\

4. Open the file overlapping.ggb using
GeoGebra.
5. Click on both the boxes to display the
straight line graph for the equations
x + y = 4 and 5x + 5y = 20.
6. Observe the two straight lines displayed.

7. Copy and record all your results in the following table.

Linear equations Condition of Point of intersection
displayed both straight lines
2x – 3y = – 6
4x – 6y = 18
x + y = 4
5x + 5y = 20 CHAPTER

8. Discuss with your friends your findings. 6

Exploration Activities 3a and 3b show that there are three cases involving solution of
simultaneous linear equations as shown in the table below.

Condition of both straight lines Type of solution

Intersecting Unique solution
Parallel No solution

Overlapping Infinite solutions

Self Practice 6.3a

1. Form simultaneous linear equations for each given daily situation. Hence, represent
graphically the simultaneous linear equations in two variables.
(a) Puan Siti intends to reward her students with 6 Malay dictionaries and English
dictionaries. The prices of a Malay dictionary and an English dictionary are
RM20 and RM40 respectively. Puan Siti buys x Malay dictionaries and y English
dictionaries at a total cost of RM160.
(b) A total of 12 students comprising boys and girls are divided equally into two
groups. The number of boys in each group is 2 more than the number of girls.

139
Linear Equations

06 TB Math F1.indd 139 11/10/16 12:15 PM