# Hotmath

Solve by substitution. If there is not a unique solution, state whether the system has no solution or infinitely many solutions.

*
y
*
= 4
*
x
*
– 10

*
y
*
= 5 –
*
x
*

Solve by substitution. If there is not a unique solution, state whether the system has no solution or infinitely many solutions.

2
*
x
*
+ 2
*
y
*
= 0

6
*
x
*
+
*
y
*
= –10

Solve by substitution. If there is not a unique solution, state whether the system has no solution or infinitely many solutions.

2
*
x
*
+ 3
*
y
*
= 4

*
y
*
= 5
*
x
*
– 27

*
c
*
– 3
*
d
*
= 2

3
*
c
*
+
*
d
*
= 16

*
x
*
+ 4
*
y
*
= 19

*
x
*
– 2
*
y
*
= 1

3
*
r
*
–
*
s
*
= 3

–6
*
r
*
+ 5
*
s
*
= 21

7
*
x
*
+ 3
*
y
*
= 68

*
x
*
– 4
*
y
*
= –8

–0.5
*
x
*
+
*
y
*
= 1.5

0.8
*
x
*
– 0.2
*
y
*
= 6.0

*
y
*
= 4
*
x
*
– 6

3
*
x
*
– 5
*
y
*
= 12

*
x
*
+
*
y
*
= 9

*
y
*
= 3
*
x
*
+ 1

*
x
*
=
*
y
*
– 2

*
y
*
= 10 – 3
*
x
*

*
y
*
= 3
*
x
*
– 7

6
*
y
*
–
*
x
*
= 9

*
x
*
= –4
*
y
*

*
x
*
= 4 – 6
*
y
*

*
x
*
= 5
*
y
*
– 2

3
*
x
*
–
*
y
*
= 8

*
x
*
–
*
y
*
= 9

*
x
*
+
*
y
*
= –3

*
x
*
–
*
y
*
= 3

*
x
*
+ 4
*
y
*
= 7

*
x
*
+ 3
*
y
*
= 25

4
*
x
*
+ 5
*
y
*
= 9

4
*
b
*
+ 3
*
a
*
= 5

–3
*
b
*
+
*
a
*
= 6

*
y
*
– 3
*
x
*
= 0

2
*
x
*
+ 6
*
y
*
= 60

6
*
x
*
+ 5
*
y
*
= 4

3
*
x
*
= 2 –
*
y
*

By substitution, solve the system of equations. Write the solution as an ordered triple of the form (
*
x
*
,
*
y
*
,
*
z
*
).

15
*
x
*
–
*
y
*
+ 6
*
z
*
= 108

*
x
*
+
*
z
*
= 5

*
y
*
+ 4
*
z
*
= 2

Solve the system of equations. Write the solution as an ordered triple of the form (
*
x
*
,
*
y
*
,
*
z
*
).

*
x
*
+
*
y
*
+
*
z
*
= –25

*
y
*
= –8
*
z
*

*
x
*
= 12
*
z
*

Car A costs $10,000, and costs $0.12 per mile to maintain. Car B costs $11,000 and costs $0.11 per mile to maintain. Suppose both cars are driven the same number of miles. At what mileage would the total costs of the two cars be the same?