Solve the system of equations by graphing.
y=- 4x - 5
Ty=x+5
Use the graphing tool to graph the system

The given system of equations is and

We need to determine the solution to the system of equations.

Plotting the equation :

The equation   can be plotted in the graph using the x and y intercepts.

When , the equation becomes

When , the equation becomes

Hence, joining these coordinates (0,-5) and (-1.25, 0), we get the line for the equation  

Plotting the equation :

The equation can be plotted in the graph using the x and y intercepts.

When , the equation becomes

When , the equation becomes

Hence, joining these coordinates (0,5) and (-5,0), we get the line for the equation  

Solution of the system of equations:

The solution of the system of equations is the point of intersection of these two lines.

Thus, from the graph, the lines intersect at the point (-2,3)

Hence, the solution to the system of equations is (-2,3)

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet