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trasher [3.6K]
3 years ago
10

How many terms does the following linear expression have?

Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

4 terms.

Step-by-step explanation:

x^2 has 2 terms/

3x is one term.

1/5x is one term.

Basically the number of x's.

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Hey there!

To find our answer, we need to set up a <u><em>system of equations. </em></u>Remember, <u><em>supplementary angles</em></u> equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)

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We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with <u><em>substitution.</em></u>

Let's solve with substitution!

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Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.

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We can also check this with the original problem.

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I hope this helps! Have a great day!

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