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 Everyday Examples
 System of Equations:  Two or more equations that together define a relationship between variables usually in a problem situation. It can have no solution, one solution, or many solutions.
The chart below displays the calories and grams of protein in a nutritious drink.

Chart with the ingredients of a healthy drink.

One question that a chef or cook may ask is how much of each ingredient do I need to create a drink with 540 calories and 25 grams of protein? A system of equations, such as the one shown below, can be set up to find the solution to this problem. Let x = the number of eggs, y = the amount of milk (in cups), and z = the amount of orange juice (in cups.) Solving the system of equations means to find values for all three unknowns x, y, and z. The solution will tell the cook how much of each ingredient he/she will need.

Two equations with three unknowns representing the amount of each ingredient needed for the drink.

Photo courtesy of www.sosmath.com