One type of lawn fertilizer consists of a mixture of nitrogen, phosphorus, and potassium. An 80 lb sample contains 8 more lb of nitrogen and phosphorus than potassium. There is 16 lb more potassium than 5 times the amount of phosphorus. Let x be the amount of nitrogen, let y be the amount of phosphorus, and let z be tge amount of potassium in the sample.

Find the amount of each of the chemicals in the sample.

**Solution:-**

Write a 3 by 3 system of equation to solve the problem stated above. Do not solve the system.

Equation 1: x + y +z =80

Equation 2: x + y – x = 8

Equation 3: -5y +z = 16.