Game Development Reference
In-Depth Information
Here is the substitution for the second equation:
4
1
4
þ
2
1
2
¼
0
1
þ
1
¼
0
0
¼
0
Exercise Set 11.2
Solve the following systems of equations using the elimination method. Check your answers.
a. 3a þ 2b ¼ 5
a þ 4b ¼ 10
b. a 2b ¼ 6
2a 3b ¼ 4
c. 6a 12b ¼ 16
3a 4b ¼ 8
d. 5a þ 4b ¼ 5
2a 4b ¼ 8
e. 2a þ 3b ¼ 17
5a þ 7b ¼ 29
Variations on Themes
While it is best to conform to the basic addition and multiplication routines for
solving systems of equations, in a few instances, you benefit if you perform a few
preliminary activities to make your work easier. The actions you take involve
practical measures that you often take when working with fractions.
Change the Order
One measure involves examining the system of equations to discover whether it
might be best to switch the order of the equations to make addition and mul-
tiplication activities easier. Here is an example involving the system of equations
that resembles the one you explored in the previous section:
4
x þ
2
y ¼
0
x
4
y ¼
1
