So when they tell us the ordered pair, negative four comma four, they're saying 'hey look, if x is equal to 'negative four, and y isĮqual to positive four, 'does that satisfy this equation?' And what we can do, is What we have to remind ourselves is when we're give an ordered pair, the first number is the xĬoordinate and the second number is the y coordinate, or the y value. Which of the ordered pairs is a solution of the following equation? Negative three x minus y is equal to six. If you are able to do the linear programming, you would be able to see whether the boss has the right idea and, perhaps, you could make a suggestion that will get you a raise. If you don't own the shop, but you work there, you want your boss to be able to do linear programming so there is money for you to be paid. Linear programming helps you to determine whether to stock 5 of the most profitable item and 20 of the less profitable item or 4 of the most profitable and 30 of the less profitable to keep the cash flowing steadily. Your most profitable item might not be the best selling or your space might only hold 10 of your most profitable item or 40 of a less profitable item.

Linear programming is used in business all the time.įor example, if you owned a shop, you might want to know the best combination of items to stock in the limited capacity of the shop in order to maximize cash flow. Linear programming is a method for calculating an optimal result given a set of constraints.

Solving linear equations is a foundation step for solving systems of linear equations, which is a foundation step for linear programming (which, surprisingly, is not computer programming) or linear optimization.

Khan academy 2 step equations