Answer: the equations are
y × x = 750 - - - - - - - -- - -1
x = y - 5 - - - - - - - - - - - 2
y^2 - 5y - 750 = 0 is used to solve for y
Step-by-step explanation:
The area of a rectangular room is 750 square feet. The rectangular room has dimensions for length, y and width, x.
Area of the rectangular room = length, y × width, w. Therefore, from the information given above about the area,
y × x = 750
xy = 750 - - - - - - - -- - -1
The width of the room is 5 feet less than the length of the room. This means
x = y - 5 - - - - - - - - - - - 2
Equation 1 and equation 2 above can be used to solve for the length as well as the width of the room.
We can go further to find the length by substituting equation 2 into equation 1.
The equation becomes
y(y-5) = 750
y^2 -5y = 750
y^2 - 5y - 750 = 0
This equation is used to solve for y
