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6.2 Open the folder downloaded from page vii for extra
questions of Mastery Q 6.2.
1. Form a linear equation in two variables for each of the following:
(a) The total price of x headscarves at RM30 each is RM8 more than the total price
of y shawls at RM20 each.
(b) The total age of a father and his twin children is 130.
(c) In a school, the number of female teachers is twice the number of male teachers.
2. Write two possible pairs of solutions for each of the following equations:
(a) x + y = 7 (b) y – 2 = 5x

3. Draw graphs to represent each of the following linear equations based on the given
values of x:
(a) x – y = 2; x = 0, 1, 2, 3, 4, 5 (b) 2x + y = 4; x = –2, –1, 0, 1, 2
x
(c) y – = 3; x = – 6, – 4, –2, 0, 2
2 CHAPTER
4. A shirt costs RM20 and a pair of pants costs RM10. Find the possible number of
shirts and pants that Sheimah can buy with a total payment of RM80. What is the
maximum number of shirts that Sheimah can buy? 6

5. Pei San saves only 10 sen and 20 sen coins in her coin box. Her total savings is RM5.
Draw a graph to represent the situation.

6.3 Simultaneous Linear Equations in Two Variables

How do you form simultaneous linear equations
and represent them graphically? LEARNING
STANDARDS
Faizah rears a total of 7 chickens and ducks in a coop. The Form simultaneous linear
cost of rearing a chicken is RM2 per week whereas the equations based on
cost of rearing a duck is RM1 per week. The total cost for daily situations. Hence,
rearing the chickens and ducks is RM12 per week. How represent graphically
the simultaneous
many chickens and ducks can Faizah rear? linear equations in two

Based on the situation above, let x and y be the number variables and explain the
of chickens and ducks being reared respectively, meaning of simultaneous
linear equations.
thus x + y = 7 Total number of chickens and ducks is 7.

Total rearing cost of chickens
and 2x + y = 12
and ducks is RM12 per week.
Both the equations formed are linear equations in two variables.

To determine the number of chickens and the number of ducks, we need to find the
values of x and y that satisfy both the linear equations.

137
Linear Equations

06 TB Math F1.indd 137 11/10/16 12:15 PM