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Solving Systems of Simultaneous Equations

Total questions: 6

Worksheet time: 3600secs

Name
Class
Date
1.

Solve this system by substitution.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

2.

3x + y = –14

–2x – y = 9

Which method would be best for solving this system?

a)

Substitution

b)

Elimination/Matrices

3.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
4.
What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 
a)
1
b)
-1
c)
3
d)
4
5.

Solve the following systems of equations using substitution:


2y + x = -15

x = 3y

a)

(-3, -9)

b)

(-9, -3)

c)

(-3, 9)

d)

(9, -3)

6.
There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?
a)
d + c = 174
4d + 2c = 50
b)
d + c = 50
4d + 2c = 174
c)
d + c = 50
2d + 4c = 174
d)
d + c = 174
2d + 4c = 50