Page 165 - Mathematics

Thus, the two equations are x y+= 14 and x y−= 6. The x and y-intercepts
are (14, 0) and (0, 14) for x y+= 14 and (6, 0) and (0, 6)− for x y−= 6.
Use the intercepts to draw the graph as shown in the following figure.

y
16 Tanzania Institute of Education
14
12
x + y = 14
10
x - y = 6
8
6
4 A(10, 4)

2

-2 00 2 4 6 8 10 12 14 16 x
12
-2
-4
-6

From the figure, the two lines intersect at a point (10, 4). That is, x = 10 and y =
4.
Therefore, the numbers are 4 and 10.

Engage in Activity 6.5 to learn how to use mathematical software involving
linear simultaneous equations graphically.

Activity 6.5: Solving linear simultaneous equations graphically
by mathematical software

1. Identify a mathematical software of your choice.
Mathematics Form One
2. Formulate 5 different linear equations and draw them on the xy-plane
using the mathematical software identified in task 1.
3. Use the same software to draw systems of linear simultaneous equations
of your choice on the same xy-plane and state the solution.

159

Mathematics form 1.indd 159
25/10/2024 09:52:04
Mathematics form 1.indd 159 25/10/2024 09:52:04