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simultaneous equation

Total questions: 10

Worksheet time: 34mins

Name
Class
Date
1.

 Find the solution of the given simultaneous equation. 
 3x+2y=33x+2y=3  
 5x+3y=45x+3y=4  

a)

(-1,3)

b)

(17, -12)

c)

 (12,34)\left(\frac{1}{2},\frac{3}{4}\right)  

d)

(-6, 3)

e)

no solution

2.

Solve simultaneously. 

 y=2x+1y=2x+1  

 y=−x−5y=-x-5  

a)

(4, -9)

b)

(-2, -3)

c)

(7, 3)

d)

(-4, -7)

e)

no solution

3.

Solve:


3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

4.
Solve the Simultaneous Equations: 2a+b=11; a+b=8
a)
a=-3, b=5
b)
a=3, b=-5
c)
a=3, b=5
d)
a=-3, b=-5
5.
Solve the system of equations using substitution:
y = 2x + 5
2x + 2y = 4
a)
(1, 7)
b)
(7, 1)
c)
(2, 9)
d)
(-1, 3)
6.

How many methods are there to solve a pair of Simultaneous Linear Equation?

a)

2

b)

3

c)

4

d)

1

7.

Penny buys 5 adult tickets and 3 child tickets for the theatre. The tickets cost her a total of £164. Barney buys 4 adult tickets and 4 child tickets at a total cost of £152. Find the cost of one adult ticket and one child ticket.

a)

Adult = £25

b)

Child = £17

c)

Adult = £34

d)

Child = £13

8.

A fruit seller sells apples at RM2 each and watermelon at RM4 each. On Monday, his sold a total of 57 fruits and total of his sale is RM158. Find out the total number of apples sold on Monday.

a)

35

b)

15

c)

22

d)

43

9.

Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

10.
A man is three times as old as his daughter. If the difference in their ages is 36 years, find the age of the father and daughter.
a)
20 and 56
b)
18 and 54
c)
22 and 58
d)
15 and 45