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trasher [3.6K]
3 years ago
15

Find k so that the three equations 3x-y=2, 2x+8=3y, and y=kx have a common solution

Mathematics
1 answer:
andriy [413]3 years ago
8 0
2x+8=3kx (3k-2)x+8=0
3x-kx=2. (3-k)x-2=0
3k-2)x+10=3-k)x
4k-5=10/x
///////
3x-y-2=2x+8-3y
X+2y-10=0
X+2kx-10=0
K=(10-x)/2x
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NEEEEDD HEEELLLPPPP
rusak2 [61]

Option 2: \frac{x-12}{4} is the correct answer

Step-by-step explanation:

Given fraction is:

\frac{2x-24}{8}

In order to simplify, we can see that the function is already in compact form

So,

We can simplify the given fraction.

We can see that the numerator can be further simplified

\frac{2(x-12)}{8}\\=\frac{x-12}{4}

Hence,

Option 2: \frac{x-12}{4} is the correct answer

Keywords: Polynomials, expressions

Learn more about polynomials at:

  • brainly.com/question/9196410
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8 0
3 years ago
Using the net below, find the surface area
AVprozaik [17]

The Surface area of the triangular prism with the net shown below is 106 cm²

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Surface area of the triangular prism = 2(0.5 * 5 * 3) + (7 * 3) + 2(7 * 5) = 106 cm²

The Surface area of the triangular prism with the net shown below is 106 cm²

Find out more on equation at: brainly.com/question/2972832

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4 0
2 years ago
Please help!
Hunter-Best [27]

Answer:

There is a 1/8 chance.

If there are 4 cards in the deck, and one three card, it makes it a 1/4 chance of picking the card the first time.

The probability stays the second time you pull out a card.

So, you would do the equation 1/4 * 1/4, which is 1/8. That is the answer.

4 0
3 years ago
Earthquakes and volcanic eruptions. What is their cause?
jok3333 [9.3K]

Answer:

plates shifting continental drift

8 0
3 years ago
Is 1/3 and 2/6 equivalent
Helga [31]
Yes because 2/6 divided in half is 1/3
8 0
3 years ago
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