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WorksheetsSolving Linear Systems by Substitution Special Cases
Total questions: 12
Worksheet time: 46mins
Name
Class
Date
1.
Solve the system using substitution.
y = 6x - 5
6x - 7y = -1
y = 6x - 5
6x - 7y = -1
a)
(1,1)
b)
(-1, -11)
c)
No Solution
d)
Infinitely many solutions
2.
Solve the system using substitution.
y = -3x + 9
-8x + 5y = -1
y = -3x + 9
-8x + 5y = -1
a)
(3,2)
b)
(2,3)
c)
No Solution
d)
Infinitely Many Solutions
3.
Solve the system using substitution.
-7y + 5x = -3
x = 5y - 15
-7y + 5x = -3
x = 5y - 15
a)
(5,4)
b)
(4,5)
c)
No Solution
d)
Infinitely Many Solutions
4.
Solve the system using substitution.
16x + 2y = 2
y = -8x - 1
16x + 2y = 2
y = -8x - 1
a)
(2,3)
b)
(-3,7)
c)
No Solution
d)
Infinitely Many Solutions
5.
Solve the system using substitution.
y = -8x + 20
-8x - y = -20
y = -8x + 20
-8x - y = -20
a)
(5,7)
b)
(4, -9)
c)
No Solution
d)
Infinitely Many Solutions
6.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
7.
The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?
a)
x=8
b)
x=3
c)
x=11
d)
x=5
8.
What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7
x-2y=1
x+4y=7
a)
1
b)
-1
c)
3
d)
4
9.
How many solutions does the following equation have?
3x − 3 = −3 + 3x
3x − 3 = −3 + 3x
a)
One Solution
b)
No Solutions
c)
Infinitely Many Solutions
10.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
11.
When you graph the exact same equation twice,
a)
you will have no solution.
b)
you will have one solution.
c)
you will have infinite solutions.
d)
you will graph a giraffe.
12.
The solution of a system of linear equations is...
a)
the y-intercept (b)
b)
the intersection of the two equations on a graph
c)
the second equations' answers
d)
the slope (m)
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