Assign variables and write equations for the following. Do not solve.

The cost of a motorcycle is $200 less than 1/3 cost of a truck. If 3 motorcycles and 1 truck cost $35,400, find the cost of a motorcycle.

Equations:
Let __ = ___________ ____________
__ = ___________ ____________

Let x = cost truck

Let y = cost motorcycle
Then (1/3)x - y = 200
And x + 3y = 35,400
Solving simultaneously:
x = $18,000
Y = $5,800