Game Development Reference
In-Depth Information
for
x
. Accordingly, you might proceed in this way:
4
x þ
6
y ¼
2
4
x
4
þ
6
y
4
¼
2
4
3
y
2
¼
1
2
x þ
1
2
3
y
2
x ¼
1
3
y
2
Given this finding, you can identify an ordered pair by using the value you
possess for the
y
variable. This takes the following form:
x ¼
1
3
y
2
,
y
Working from this basis, you can proceed to furnish any value you choose for
y
to arrive at the value of
x
. In this way, you can potentially generate an infinite
number of ordered pairs. Among these are the following:
ð
13
5
2
,2
ð
4
;
3
Þ
;
9
Þ
Exercise Set 11.5
Explore these systems of equations and determine if they are dependent.
1
3
þ
1
4
¼
1
16
a.
1
6
þ
1
2
¼
12
16
b. 6x þ 5y ¼ 22
18x þ 15y ¼ 32
c. 4x þ 2y ¼ 20
24x þ 12y ¼ 8
d. 3y 2x ¼ 6
12y þ 8x ¼24
e. y ¼3x þ 5
y ¼3x 2