on your own paper graph the following equations. describe the graphs and give a solution to the system of equations -2x - 5y = 20 y = 4/5 x + 2

Please check the explanation.

Step-by-step explanation:

Given the system of equations

Please check the attached graph.

On the attached diagram:

The blue line represents the line -2x - 5y = 20

The red line represents the line y = 4/5x + 2

It is clear from the graph that both the graphs meet or intersect each other at the point (-5, -2).

In other words,

(x, y) = ( -5, -2) is the point of intersection of the two lines.

We know that the point of intersection of the two lines is the solution of the system of equations.

Therefore, the solution to the system of equations will be:

(x, y) = ( -5, -2)

The solution to the system of equations using the elimination method:

Given the system of equations

Arrange equation variables for elimination

Multiply  -2x - 5y = 20 by 2:  -4x-10y=40

Multiply y = 4/5x + 2 by 5: -4x+5y=10

so

now subtracting

solve 15y = -30 for y

Divide both sides by 15

For -4x-10y=40, plug in y = -2

simplify

divide both sides by -4

Simplify

Therefore,

The solution to the system of equations will be:

(x, y) = ( -5, -2)

Larger:x Smaller:y

x=2y-5

x=-4y+7

x=2y-5=-4y+7