Please see the attached pdf and provide the solutions to the attached questions. Thanks!1.
(2 pts) As a warmup solve the following linear system:
2
x
+
3
y
=
1
x

y
=
3
The solution of this system is
x
=
and
y
=
.
Hint: Subtract twice the second equation from the Frst, or add
three times the second equation to the Frst.
2.
(2 pts)
The solution of the linear system
x
+
y
=
7
3
x

y
=

1
is
x
=
and
y
=
.
3.
(2 pts) Use the elimination method to Fnd all solutions of
the system
5
x
+
2
y
=

9
,
7
x
+
3
y
=

12
.
Your answer is
x
=
y
=
4.
(2 pts) Use the substitution method to solve the system

x
+
y
=
0
,
4
x

3
y
=
2
.
Your answer is:
If there is more than one point, type the points separated by a
comma (i.e.: (1,2),(3,4)). If the system has no solution, type
none
in the answer blank.
5.
(2 pts) Solve the system
x
+
4
y
=

1
,
3
x
+
12
y
=

3
.
If the system has inFnitely many solutions, express your answer
in the form
x
=
x
and
y
as a function of
x
Your answer is
x
=
y
=
6.
(2 pts)
Solve the system using elimination
?
8
x

9
y
=

44
9
x

y
=

86
x
=
y
=
7.
(2 pts) Use the elimination method to Fnd all solutions of
the system
5
x
+
2
y
=
16
,
7
x
+
3
y
=
23
.
Your answer is:
If there is more than one point, type the points separated by a
comma (i.e.: (1,2),(3,4)). If the system has no solution, type
none
in the answer blank.
8.
(1 pt) Match each question with its answer.
1
Answer