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)

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the degrees would remain the same ( the number to the left of the decimal point.

the multiply the decimal by 60 to get the minutes and use the numbers to the left of the decimal point.

then multiply the decimal portion of that by 60 for the seconds and round off as needed.

39 .956652

the 39 remains the degrees.

the minutes = 0.956652 x 60 = 57.39912

the minutes = 57

the seconds = 0.39912 x 60 = 23.95 = 24 ( rounded to nearest tenth)

so 39.956652 = 39 degrees, 57 minutes and 24 seconds

-75.159809

the -75 remains the degrees

the minutes = 0.159809 x 60 = 9.58854

the minutes = 9

the seconds = 0.58854 x 60 = 35.31, rounded to nearest tenth = 35.3 seconds

so -75.159809 = -75 degrees, 9 minutes and 35.3 seconds.

the first coordinate is north or south, since it it positive it is north.

the second number is east or west, because it is negative it is west.

39 degrees, 57 minutes and 24 seconds n

-75 degrees, 9 minutes and 35.3 seconds w