Question

I dont understand how to find Which ordered pair is a solution of the equation? y=8x+3

Answer 1

Lets go over the solutions.

Let's start with (1, 11). After substituting x = 1 and y = 11, it results in the equation 11 = 11, which is a true statement. Hence, this is one solution.

Now, let's look at (-1 -5). After substituting x = -1 and y = -5, it results in the equation -5 = -5, which is also a true statement. So, this being said, (-1, -5) would also be a solution.

Hence, our two solutions are:

Both
`(1, 11)` and
`(-1, -5)`.

Hope this helps!

Answer 2

Step 1:

To find ordered pair solutions, you could create an x and y graph and fill out the x side. Then, plug in an x number to get your y number and graph the ordered pairs to see if they give you a straight line. I'm going to use these numbers: -1, 0, 1, and 2.

`...x...|...y...`

`\left[\begin{array}{ccc}-1&?\\0&?\\1&?\\2&?\end{array}\right]`

Now, let's plug in -1 into the equation first to see what we get for y.

`y=8(-1)+3\\y=-8+3\\y=-5\\(-1,-5)`

-5 is our y if x was -1.

We do the same for the other three numbers.

`y=8(0)+3\\y=0+3\\y=3\\(0,3)`

`y=8(1)+3\\y=8+3\\y=11\\(1,11)`

`y=8(2)+3\\y=16+3\\y=19\\(2,19)`

Step 2:

With all that done, we can now fill out our table and graph the points.

`....x...|...y....`

`\left[\begin{array}{ccc}-1&-5\\0&3\\1&11\\2&19\end{array}\right]`

If you graph these points on graph paper / a graphing website, you will see that these points go in a straight line. If you are given an ordered pair already (for example: (3,5)), then all you have to do is plug in the x into the equation (3) and see if the outcome is true (5).

`5=8(3)+3\\5=24+3\\5\\eq 27`

Since they don't equal each other, then (3,5) is false.

Here is the graph for the table above. I hope I helped you!