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simultaneous equations

Total questions: 7

Worksheet time: 35mins

Name
Class
Date
1.

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

2.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

3.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

4.

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

5.

Solve
 3x+y=13x+y=1  
 x2y=19x-2y=19  



a)

 x=4, y=3x=-4,\ y=3  

b)

 x=3, y=4x=3,\ y=-4  

c)

 x=3, y=8x=3,\ y=-8  

d)

 x=4, y=8x=4,\ y=8  

6.

Solve
 3x + 4y = 73x\ +\ 4y\ =\ 7  
 5x2y=165x-2y=16  

a)

 x = 3, y = 12x\ =\ 3,\ y\ =\ -\frac{1}{2}  

b)

 x=3, y = 12x=-3,\ y\ =\ \frac{1}{2}  

c)

 x=12, y=3x=\frac{1}{2},\ y=-3  

d)

 x=12, y=3x=-\frac{1}{2},\ y=-3  

7.

Solve
 3x4y=113x-4y=11 
 5x+6y=125x+6y=12  

a)

 x=0.5, y=3x=0.5,\ y=-3  

b)

 x=3, y=0.5x=3,\ y=0.5  

c)

 x=3, y=0.5x=3,\ y=-0.5  

d)

 x=6, y=2x=6,\ y=2