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

User Pmg
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2 Answers

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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!

User Rashidah
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3 votes

Answer:

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!

I dont understand how to find Which ordered pair is a solution of the equation? y-example-1
User Phill Alexakis
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