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MaRussiya [10]
3 years ago
5

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation

3 x minus 5 = negative 2 x + 10?
A) x = 5
B) –5 = x
C) –15 = –5x
D) –5x = 15
Mathematics
2 answers:
Sliva [168]3 years ago
7 0

Answer:

C) –15 = –5x

Step-by-step explanation:

3x - 5 = - 2x + 10

+2x       +2x            Add 2x to both sides

5x - 5 = 10

    +5    +5             Add 5 to both sides

5x = 15                   Divide both sides by 5

x = 3

The closest answer would be C because it equals the same answer.

Oksi-84 [34.3K]3 years ago
5 0

-15 = -5x shows the variable terms isolated on one side and the constant term isolated on the other side.

Solution:

Given that, we have to find the equation that shows variable terms isolated on one side and the constant terms isolated on the other side for the equation

Given equation is:

3x - 5 = -2x + 10

Let us first solve the given equation

We can solve the equation and find value for "x" by keeping the variable "x" on one side and move the constants to other side

Move 3x from left side to right side

-5 = -2x + 10 - 3x

Move 10 from right side to left side

-5 - 10 = -2x - 3x

Combine the like terms

-15 = -5x

The above equation shows the variable terms isolated on one side and the constant term isolated on the other side.

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Alexxx [7]

Answer:

B.

Step-by-step explanation:

So, lets remember a few things first.

#1: The formula for finding the answer is A^2+B^2=C^2

#2: A is the opposite side, B is the adjacent side, and C is the hypotenouse side.

Now lets plug in what we already know, and see if we canf igure out the annswer:

<u>A^2+12^2=13^2</u>

Now I am going to stop us here. This is your equation that will find the answer. In your question, they use x^2, A^2 is a variable you can use instead. But looking at this, answer B and my equation I wrote above are exactly the same.

If you want, here is how I further solved it, this might give you a better grasp on what to do for future problems:

Ok, not  too bad, the A is the unkown value, which is the opposite side.

Now, how do we figure this out? Well, we just need to sovle for A.

To do this, lets clean up our equation by first sqauring all the values(except for the unkown):

A^2+144=169

Ok, that looks better, now lets just subtract the adjeacent side(b), which is 144, from the hypotenouse side(c), which is 169.

This will now look like:

A^2=25(169-144=25)

Ok, just one more step to go. Just square root both sides of the equation, this way, we will get ride of the ^2 on A(opposite side), and get A alone.

(\sqrt{A^2}=A)=(\sqrt{25}=5)

A=5

This is your answer.

5 0
3 years ago
(x² + 6x + 1) = (x – 3)
Romashka [77]

Hello!

\large\boxed{x = -4, -1}

x² + 6x + 1 = x - 3

Bring all terms to one side by subtracting x and adding 3:

x² + 6x - x + 1 + 3 = x - x - 3 + 3

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Factor:

(x + 4)(x + 1) = 0

Set each factor to 0:

x + 4 = 0

x = -4

x + 1 = 0

x = -1

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Answer:

(x+3)(x-2)(2x)(x+2)

Step-by-step explanation:

First, start by factoring (x²+x-6).

Find 2 numbers that multiply to -6 and add to get 1. This will be 3 and -2.

So, (x²+x-6) will factor into (x+3)(x-2)

Then, factor (2x²+4x).

You can factor out 2x because both terms can be divided by that.

You will be left with 2x(x+2), which cannot be factored anymore.

Combine all the factors to get (x+3)(x-2)(2x)(x+2).

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