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3 years ago

9x+3=3x+9Slove for x?

2 answers:

8 0

Let's review:
Inverse Operations:
Inverse Operations are operations which undo each other!
I'll give the following Inverse Operations in this form.

Operation -> Inverse Operation

Addition -> Subtraction
Subtraction -> Addition

Multiplication -> Division
Division -> Multiplication

That's all of them we'll need to know to solve this problem!

9x + 3 = 3x + 9

First Step!: Move all of the variables to once side (Numbers with x in them). (Prioritize the lower one so we won't need to work with negative numbers) Subtract 3x on both sides (Subtract, because the number is positive)

9x - 3x + 3 = 3x - 3x + 9

3x - 3x = 0

9x - 3x + 3 = 9

Move the 3 to the right by subtracting it on both sides.

9x - 3x + 3 - 3 = 9 - 3

3 - 3 = 0
9 - 3 = 6

9x - 3x = 6

Subtract like terms. (Just like you would subtract 9 - 3). Note that they are only like terms, because they both have the same variables (x) that are the same power (1).

6x = 6

Divide 6 on both sides to get your answer.

6x/6 = 6/6

The 6's cancel out and we are left with 1 on the left AND right, because 6/6 = 1.

x = 1

Plug x in to check.

9(1) + 3 = 3(1) + 9

9 + 3 = 9 + 3

Those are definitely equal!

I hope that helped. If it did then consider giving me the brainliest answer. Thanks.

Alex Ar [27]3 years ago

7 0

9x + 3=3x + 9....so 9x-3x=: 3 = -3x+9 and then you minus 9 from 3 and it equals to -3=-3x and then you divided -3 by -3 equals
=1 negative divided by a negative "always" a positive. so the answer is (positive one)

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What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

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2 years ago

Factor 80t - 16t = 0 help?

Alinara [238K]

I don't know if that is factor-able. It looks like you could just subtract and get 64t. which would lead to the answer being zero since you divide by zero when isolating the variable t.

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3 years ago