SOLUTION: A certain gym floor has a perimeter of 286 feet. Its length is 47 feet greater than its width. Set up a system of two linear equations whose solution gives the length and width of

Algebra ->  Linear-equations -> SOLUTION: A certain gym floor has a perimeter of 286 feet. Its length is 47 feet greater than its width. Set up a system of two linear equations whose solution gives the length and width of       Log On


   

Question 951990: A certain gym floor has a perimeter of 286 feet. Its length is 47 feet greater than its width. Set up a system of two linear equations whose solution gives the length and width of the floor. Solve the system symbolically, graphically, and numerically.
Let x represent the length of the gym floor, and y represent the width of the court.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, length
y, width
p, perimeter

Let p=286;
x=47%2By;


FORMULA:

p=2x%2B2y

System of Equations:
system%28p=2x%2B2y%2Cx=y%2B47%29

Substitution may be simplest, and solve for y first, symbolically - no numeric substitutions until the end. Using the formula solution for y, solve for x.