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)
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
