Page 105 - Mathematics_F1

2
4= − (5) 0.3x −  0.2y = 2.8
5 10. 
42= −  1.5x − 0.4y = 7
 x y
= 2  2 − 3 = 5

11. 
FOR ONLINE READING ONLY
Therefore, x = and y = 2.  x − y = 3 1
5
  3 6 2
 pq−= 5
12. 
Exercise 5.8  3pq−= p + 13

5x −  2y = 10
Solve the following simultaneous 13. 
Tanzania Institute of Education
x
equations by using substitution  −+ 3y = 24
method.  2x += 10
y
14. 
3x −  2y = 5  x − 2y = 1
1.  x
y
y
 2x += 8  += 9

23 15.  2

2.  5ab+ =  3x − y = 23

 3a − 2b = 6   5
3.  x −  3y = 2 Solving word problems on linear
 4x + 2y = 36 simultaneous equations

 7x y−= 14 Simultaneous equations are useful in
4.  solving real-life problems involving
 8x − 2y = 16 more than one unknown which can be
 7x y+= 17 solved simultaneously. Such problems
5. 
 8x − 2y = 10 can be formulated from different real-
life scenarios such as the routes of
y
 2x −= 9
6.  the journey, managing multiple loans,
y
 x += 9 recipe proportions and many others.
Formulating and solving word problems
 3yx−= 4 on simultaneous equations involve the
7. 
Mathematics Form One 8.  8mn−= 45 1 1. Let the unknowns be represented
y +
2x =
6

following steps:
38

by variables.
3n =
−
m −

2. Write the two simultaneous equations
2ab+ =
21

9.
according to the requirements of the

a +
2b =


problem.
98
25/09/2025 15:01:15
Mathematics form 1.indd 98 25/09/2025 15:01:15
Mathematics form 1.indd 98