Question

A garden has a perimeter of 120 feet. The difference between the length and twice the width is 24 feet. Write a system of linear equations that represents this situation (Utilize the variables - x will represent the length and y will represent the width). What is the length and width of the garden. (Type the equations into the system exactly like the example x(space)+(space)y(space)=(space)12)

Answer 1

The first equation in our system would be the one for the perimeter.
120=2x+2y
The second equation will represent the relation between x and y given in the problem.
24=x-2y
Now we can simply add these two equations.
+2y and -2y will cancel and we are left with:
144=3x
x=48ft
Now we can use any of the equation to calculate y. We simply plug in x=48 and we calculate y.
24=x-2y
24=48-2y
2y=48-24
2y=24
y=12ft