Game Development Reference
In-Depth Information
problem presented previously:
x
2
4
¼
7
x
2
4
þ
4
¼
7
þ
4
:
Undo the addition
x
2
¼
11
¼ð
11
Þ
2 ot e ivisin
x
2
2
:
x ¼
22
In this case, multiply by 2 to remove the fraction. When you remove the fraction,
at the same time you first add 4 to both sides, and then multiply both sides by 2.
You might just as well have started out by multiplying both sides by 2 but by first
adding 4 you reduce the amount of work. To check the solution, you substitute it
into the original equation:
x
2
4
¼
7
22
2
4
¼
11
4
22
2
4
¼
7
Here is another problem that involves multiple stages of undoing before you
reach a solution. When you start off, the denominator of the fraction on the left
consists of added terms. The most direct approach to dealing with this situation
involves multiplying both sides right off by 7:
3
x
þ
2
7
¼
4
¼
7
ð
4
Þ
3
x
þ
2
7
7
Multiply by 7 to ''clear''
the equation of fractions
:
3
x þ
2
¼
28
:
Now the fraction is gone
3
x þ
2
2
¼
28
2 Undo the addition
:
3
x ¼
26
Undo the multiplication
:
26
3
x ¼
