Suppose you write a system of equations to find a break-even point for a business. you solve the system and find that it has no solution. what would that mean in terms of the business?

Systems of equation not all the time will give you a solution. What does it mean in terms of business? This means that no matter what value you plugged in for the variable, there's always a contradiction. In business, no matter how you apply the best resources and process you have, there's always a contradiction that will happen along the way.