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1. Solve the system of equation algebraically:
a.
2x + 3y = 1
x − 3y = 5
b.
x − 4y = 3
3x + 2y = 0
−x + 2y = −2
c. 1
x − y = 3
2
d.
x + 2y = −7
x + y = −3
e.
x + y = 8
x − y = 4
f.
3x
= 24
x + 2y = 0
g.
5x − y = 21
2x + 3y = −12
h.
x + 3y = 5
2x − 3y = −8
i.
4x + 5y
= −3
−2y = −8
j.
3x − 4y = 10
2x + 2y = 9
k.
3x − 6y = 2
5x + 4y = 1
l.
2x + y = 1
4x + 2y = 6
m.
3x + 3y = −1
4x + y = 83
n.
2x + 3y = 6
x − y = 12
1
x + y = −2
o. 2
x − 2y = 8
1
x +
2
p. 1
x −
4
1
x −
3
q. 3
x +
4
1
3y
= 3
2
3y
= −1
3
2y
= −5
1
3y
= 11
12x − 4y = −3
r.
2
3x − y = −2
3
2. The graph of two equations is shown below.
Which of the following ordered pair can be a possible solution to the system of
equation?
a (2, 3) b (2, −3) c (−2, 3)
to answer the question.
d (−2, −3)
e There is not enough information
3. Which of the statement(s) is/are true:
I. An inconsistent system of equations has no solution
II. An independent system of equations has infinitely many solution
III. A dependent system of equations has exactly one solution
a. I only
all false
b. II only
c. II and III only
d. I and III only
e. They are
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