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3 years ago

Explain how to form a linear combination to eliminate the variable y for this system 2x-3y=3 5x+2y=17

Mathematics

2 answers:

igomit [66]3 years ago

8 0

Answer: That answer wasnt given in mine tjo

Step-by-step explanation:

Nadusha1986 [10]3 years ago

3 0

Well to be exact the answer is x=3 y=1

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Given <br><img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

2 years ago

maria is using 208 ounces of water to make some soup. Her recipe calls for 2 fluid ounces of olive oil for every 13 cups of wate

Readme [11.4K]

Answer:

4 oz

Step-by-step explanation:

there is 26 cups in 208 oz. so if there is 2 oz for every 13 cups there would be 4 oz of olive oil.

4 0

2 years ago

What digit is in the tens place in the number 7,836

Sidana [21]

Answer:

Step-by-step explanation:

The 3 is in the tens place representing the number 30.

~theLocoCoco

6 0

2 years ago

Read 2 more answers

Please help meeee …………..

ycow [4]

Answer:

3 or 6/2

Step-by-step explanation:

when there are two subtraction signs it can be taken as a plus sign

1/2 + 5/2

1/2 + 5/2 = 6/2

6 / 2 = 3

3 is your answer

4 0

2 years ago

Which is a correct definition of perpendicular lines?

djyliett [7]

It would be B: a set of points that extends infinitely in two directions

4 0

2 years ago