Question: Use the technique illustrated in Example to find all possible solutions for the problems
A gym purchased 2-pound weights and 5-pound weights for a total of 40 pounds of weights in all. What are the possibilities for the number of each kind of weight purchased by the gym if at least one of each kind of weight was purchased?
Example: Solving a Diophantine Equation
Find all nonnegative integer values for x and y that satisfy the equation 740x + 1295y = 18,500, and determine the possible computer purchases for the department.
1456x + 693y = 4760