1.
If you use the elimination method to solve the system of equations
3
x
- 4
y
= 9 and 2
x
+ 3
y
= 7, which of the following would be the best method?
Method I: Multiply both sides of the first equation by 2, and multiply both sides of the second equation by 3. Then add the two equations.
Method II: Multiply both sides of the first equation by 3, and multiply both sides of the second equation by 4. Then add the two equations.
A.
Method II
B.
Method I
C.
Both Method I and Method II are correct.
D.
Neither Method I nor Method II is correct.
Hint
2.
If you use the substitution method to solve the system of equations
3
x
- 2
y
= 4 and
x
+
y
= 5, which of the following would be the best method?
Method I: Solve the second equation for
x
, and substitute 5 -
y
for
x
into the first equation.
Method II: Solve the second equation for
y
, and substitute 5 -
x
for
y
into the first equation.
A.
Method I
B.
Neither Method I nor Method II is correct.
C.
Method II
D.
Both Method I and Method II are correct.
Hint
3.
Which of the following describes the system of equations 2
x
-
y
+ 4 = 0 and 4
x
- 2
y
+ 7 = 0?
A.
consistent and independent
B.
none of these
C.
inconsistent
D.
consistent and dependent
Hint
4.
Which of the following describes the system of equations
x
- 3
y
+ 2 = 0 and
2
x
- 6
y
+ 4 = 0?
A.
none of these
B.
Consistent and independent
C.
Inconsistent
D.
Consistent and dependent
Hint
5.
Choose the best method to solve the system of equations
x
+
y
= 2
and
y
= 3
x
- 4.
A.
Eliminate
y
B.
Substitution
C.
Eliminate
x
D.
Graphing
Hint