fuel x costs $2 per gallon and fuel y costs $3 per gallon . u have at ost $18 to spend on fuel .your tamk can hold 14 galloms at ,ost. write a system to represnet this situation

Let's represent the number of gallons of fuel X as X and the number of gallons of fuel Y as Y.

The constraints are:
1) The total cost of fuel should be at most $18:
2X + 3Y ≤ 18

2) The total number of gallons should not exceed 14:
X + Y ≤ 14

The objective is to maximize the amount of fuel without violating the constraints.