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Solving Systems of Equations by Substitution

Total questions: 15

Worksheet time: 1hrs 23mins

Name
Class
Date
1.

Solve the following system:

y=6x−11y=6x-11  

−2x−3y=−7-2x-3y=-7  

a)

(2, 1)\left(2,\ 1\right)  

b)

(1, 3)\left(1,\ 3\right)  

c)

(2, 5)\left(2,\ 5\right)  

d)

(3, 2)\left(3,\ 2\right)  

2.

Solve the following system:

2x−y=−12x-y=-1  

y=x−1y=x-1  

a)

(−2,−3)\left(-2,-3\right)  

b)

(4, 5)\left(4,\ 5\right)  

c)

(5, 3)\left(5,\ 3\right)  

d)

(3, 4)\left(3,\ 4\right)  

3.

Solve the following system:

y=−3x+5y=-3x+5  

5x−4y=−35x-4y=-3  

a)

(1, 2)\left(1,\ 2\right)  

b)

(1, 5)\left(1,\ 5\right)  

c)

(2, 5)\left(2,\ 5\right)  

d)

(5, 1)\left(5,\ 1\right)  

4.

Solve the following system:

−3x−3y=3-3x-3y=3  
y=−5x−17y=-5x-17  

a)

(−4,3)\left(-4,3\right)  

b)

(4, 3)\left(4,\ 3\right)  

c)

(3, 4)\left(3,\ 4\right)  

d)

(3, −4)\left(3,\ -4\right)  

5.

Solve the following system:

y=−2y=-2  

4x−3y=184x-3y=18  

a)

(3, −2)\left(3,\ -2\right)  

b)

(3, 2)\left(3,\ 2\right)  

c)

(−2,3)\left(-2,3\right)  

d)

(2, 3)\left(2,\ 3\right)  

6.

Solve the following system:

y=5x−7y=5x-7  

−3x−2y=−12-3x-2y=-12  

a)

(2, 3)\left(2,\ 3\right)  

b)

(3, 2)\left(3,\ 2\right)  

c)

(−2, −3)\left(-2,\ -3\right)  

d)

(−2, 3)\left(-2,\ 3\right)  

7.

Solve the following system:

y=4x+6y=4x+6  

−5x−y=21-5x-y=21  

a)

(−3, −6)\left(-3,\ -6\right)  

b)

(3, 6)\left(3,\ 6\right)  

c)

(3, −6)\left(3,\ -6\right)  

d)

(−3, 6)\left(-3,\ 6\right)  

8.

Solve the following system:

−7x−2y=−13-7x-2y=-13  

x=2y+11x=2y+11  

a)

(3, −4)\left(3,\ -4\right)  

b)

(3, 4)\left(3,\ 4\right)  

c)

(−3, −4)\left(-3,\ -4\right)  

d)

(−3, 4)\left(-3,\ 4\right)  

9.

Solve the following system:

y=5x−2y=5x-2  

−3x+6y=−12-3x+6y=-12  

a)

(0, −2)\left(0,\ -2\right)  

b)

(0, 2)\left(0,\ 2\right)  

c)

(−2, 0)\left(-2,\ 0\right)  

d)

(2, 0)\left(2,\ 0\right)  

10.

Solve the following system:

y=5x−3y=5x-3  

3x−8y=243x-8y=24  

a)

(0, −3)\left(0,\ -3\right)  

b)

(0, 3)\left(0,\ 3\right)  

c)

(−3, 0)\left(-3,\ 0\right)  

d)

(3, 0)\left(3,\ 0\right)  

11.
y = -2x + 18
y = 8
a)
(5, 8)
b)
(-5, 8)
c)
(2, 8)
d)
(-2, 8)
12.
a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

13.
Solve this system of equations. 
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
14.
Solve for x and y
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
15.
What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)