Which of the ordered pairs is a solution of the following equation
5x-2y=20

We want to see which ordered pairs are a solution of the equation:

5x - 2y = 20

The ordered pairs are not given, so I will give a general answer, finding the general form of all the ordered pairs that are solutions.

We start with the equation:

5x - 2y = 20

First, we need to isolate one of the variables, let's isolate y.

2y = 5x - 20

y = (5/2)*x - 20/2

Then we get:

y = (5/2)*x - 10

From this, all the ordered pairs (x, y) that are solutions of this equation are given by:

(x, (5/2)*x - 10)

Then to get the points we just need to replace the "x" with numbers, for example for x = 0 we get the solution:

(0,  (5/2)*0 - 10) = (0, -10)

For x = 1 we get the solution:

(1, (5/2)*1 - 10) = (1, -15/2)

And so on.

If you want to learn more, you can read:

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Step-by-step explanation:

5x + 2y = 20

Here we will show you how to calculate the following:

Calculate and show the solution for the x-intercept and y-intercept of 5x + 2y = 20.

Calculate the graph plot coordinates for 5x + 2y = 20

Solve 5x + 2y = 20 for x and also for y.

Calculate and show the solution for the slope of 5x + 2y = 20

Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

5x + 2y = 20

5x + 2(0) = 20

x1 = 4    y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

5x + 2y = 20

5(0) + 2y = 20

y2 = 10    x2 = 0

Get Graph Plot Coordinates

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 5x + 2y = 20 as follows:

(x1,y1) and (x2,y2)

(4,0) and (0,10)

Find slope

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 5x + 2y = 20

m = (y2 - y1)/(x2 - x1)

m = (10 - 0)/(0 - 4)

m = -2.5

y + 11 = (1/4)(x + 16)

step-by-step explanation: