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RUDIKE [14]
3 years ago
15

17 - 5(2x - 9) = -(-6x + 10) + 4​

Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

Answer:

x = 4.25

Step-by-step explanation:

1. distribue the -5 on the left side of the equal sign by multiplying it with 2x and -9 inside the brackets. Do the same with the negative sign and the -6x and 10 in the brackets on the right side of the equation. this should make:

17 - 10x + 45 = 6x - 10 + 4

2. Combine like terms on both sides of the equal sign. Add 17 and 45, and add -10 and 4 to make:

62 - 10x = 6x - 6

3. Bring like terms onto the same side. You can either bring the 62 to -6, which would make 62 negative, or bring -6 to 62, making the 6 positive. Do the same with -10x and 6x. It should make:

68 = 16x OR -68 = -16x

4. Divide both sides by 16 or -16, depending on which option you went with.

68/16 = 16x/16 OR -68/-16 = -16x/-16

This gives:

4.25 = x

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Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45
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Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}

Michelle made a mistake in Step 2.

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Which is true about the completely simplified difference of the polynomials a3b 9a2b2 − 4ab5 and a3b − 3a2b2 ab5?.
PtichkaEL [24]

The simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).

<h3>What are Like terms?</h3>

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

Let's simplify the two of the given polynomials, therefore, find the difference between the two given polynomials.

a^3b+9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2+ab^5)\\\\= a^3b+9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2-ab^5\\\\\text{Bring Like terms together}\\\\=a^3b - a^3b+9a^2b^2+3a^2b^2 -4ab^5-ab^5\\\\= 12a^2b^2-5ab^5

Hence, the simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).

Learn more about Like Terms:

brainly.com/question/2513478

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