Find at least three ordered pairs that satisfy the following equation 5x – 3y = 12 and graph the line through them.

Question

linear algebra

Answer 1

Hi. To find ordered pairs, simply plug in a number for x or y and solve for the other variable.

For example, it's usually easiest to use x or y equals 0 for one value.

Let's try x = 0

5x - 3y = 12

5*0 - 3y = 12

- 3y = 12

y = -4

So the point (0, -4) is  on the line

Now, we can do y = 0

5x - 3*0 = 12

5x = 12 

x = 12/5

x = 2 2/5

so (2 2/5, 0) is another point

Now we can do anything you want.

For y = 1:

5x - 3 =12

5x = 15

x = 3

so (3,1) is another point