Step 1
Let n represent car and m represent motorcycles.
n + m = 50 ...................1
car has four wheels and motorcycle has two wheels
4n + 2m = 164 .............................. 2
Step 2
Solve equation 1 and 2 simultaneously.
from (1), make n subject of relation and substitute in equation 2.
n = 50 - m
Step 3
Substitute n in equation 2
4(50 - m) + 2m = 164
200 - 4m + 2m = 164
collect like terms
200 - 164 = 4m - 2m
36 = 2m
m = 36/2
m = 18
next find n
n = 50 - m
n = 50 - 18
n = 32
There are 32 cars and 18 motorcycles.
Solving for variables in equations is important for many reasons. Of course, it's important to be able to solve for them so you can pass math tests. But even more so, it's important for real-life applications. There are many uses for solving equations. They can provide answers for mathematicians, accountants, insurance companies- you name it! There are way too many to list! It may not seem important now, but just keep working at it! I personally think solving equations is a ton of fun!
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