MAT 1033 Review for Test 2
(Sections 3.1, 3.2, 3.8, 4.1, 4.3, and 4.5)
Chapter 3 (3.1, 3.2, and 3.8): Systems of Linear Equations
1)
Determine whether (–2, 7) is a solution to the system
5
3
2
2
18
x
y
x
y
+
= 

+
=
.
2)
The graph of system of equations is shown at the right.
What is the solution to the system?
3)
Without solving, determine how many solutions the following
system of equations has.
5
7
5
4
y
x
y
x
= 
+
= 

Why?
4)
The system of equations below has infinite solutions
.
What must
the value of
A
be?
4
1
4
y
x
y
x
A
=
+
=
+
Solve each of the following systems of equations using any method you like.
Write your final answers as
coordinate points. If you solve by graphing, you must show a sketch with the solution labeled on the graph.
5)
2
2
2
6
x
y
x
y
+
=

=
6)
5
4
9
2
3
x
y
x
y

=

= 
7)
5
2
4
10
4
7
x
y
x
y

=

+
=
8)
6
2
y
x
y
x
=

=
9)
3
7
2
1
x
y
x
y

=

= 
10)
3
4
11
2
3
4
x
y
x
y

=
+
= 
11)
15
5
10
3
2
x
y
y
x

=
=

12)
3
2
48
9
8
24
x
y
x
y
+
=

= 
Applications
13)
A company has a demand function for a particular product of
(
)
2000
15
D p
p
=

and a supply function of
(
)
55
600
S p
p
=
+
.
What is the equilibrium point for this product?
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 Fall '10
 BERTHIAUME
 Linear Equations, Equations, Systems Of Linear Equations, Elementary algebra, following compound inequalities

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