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Solving Linear Systems Graphically Answers

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1
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Which answer describes the graph of the system of equations?

Question illustration
A
The point of intersection is (0, 4).
B
The point of intersection is (4, 0).
C
The lines are parallel.
D
The lines coincide.
2
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How many solutions exist for the system of equations graphed below?

Question illustration
A
none
B
one
C
two
D
infinitely many
3

What is the solution to the system graphed below?

Question illustration
A
(1, 1)
B
(1, –1)
C
(–1, 1)
D
(–1, –1)
4

Which system of inequalities has a solution set that is a line?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Which equation can pair with x + 2y = 5 to create an inconsistent system?

A
2x + 4y = 3
B
5x + 2y = 3
C
6x + 12y = 30
D
3x + 4y = 8
6

Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?

A
6x + 8y = 16
B
–3x – 4y = –6
C
6x – 3y = 2
D
–3x – 4y = –8
7

Which step is not necessary when solving this system of equations by graphing?

Question illustration
A
Identify the point of intersection.
B
Choose a method to graph the equations.
C
Determine the shaded area for each line.
D
Write the solution as an ordered pair.
8

How many solutions exist for the system of equations graphed below?

Question illustration
A
none
B
one
C
two
D
infinitely many
9

How many solutions exist for the system of equations below?

Question illustration
A
none
B
one
C
two
D
infinitely many
10

Which point is in the solution set of the given system of inequalities?

Question illustration
A
(2, 0)
B
(0, 2)
C
(0, 3)
D
(0, –1)

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