Please explain with complete step by step instructions.
#8)One type of lawn fertilizer consists of a mixture of nitrogen, phosphorus and potassium. An 80lb sample contains 8 move lbs of nitrogen and phosphorus than potassium. There is 16lb more potasssium 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 the amount potassium in the sample. Find the amount of each of the chemicals in the sample.
X = _____
y = _____
z = _____
(Hint: you must set up and solve a 3 by 3 systems of equations.)