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DerKrebs [107]
4 years ago
15

X=-2y-3 And 4y-x=9 solve equation

Mathematics
2 answers:
tia_tia [17]4 years ago
7 0
Solve:
x =  - 2y - 3 \\ 4y - x = 9
Step1:
Get the variable (x or y) alone or find the equation that has the variable already alone, which would be the first equation.
x =  - 2y - 3
Step 2:
Replaced "x" in the second equation with the equation in the first equation. This is used to find "y"
4y - ( - 2y - 3) = 9
Step 3:
Solve and Simplify
4y + 2y + 3 = 9
6y + 3 = 9
6y + 3 - 3 = 9 - 3
6y = 6
\frac{6y}{6}  =  \frac{6}{6}
y = 1
Step 4:
Use one of the original equation:
x =  - 2y - 3  \\ 4y - x = 9

Replace "y" from any of the problem (I recommended the first equation) to find "x"
x =  - 2(1) - 3
x =  - 2 - 3
x =  - 5
The answer is: (-5, 1)

To check your answer:
x =  - 2y - 3

(- 5)=  - 2(1) - 3
( - 5) =   - 2 - 3
( - 5) =  - 5
You will find the same answer if u use the other way. But, the way I show you is much easier and faster to find the answer.

I hope this helped u



Art [367]4 years ago
4 0
The answer is <span>{x,y} = {-5,1}</span><span> 

I hope this helps</span>
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The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

(diagonal)^{2} = (length)^{2} + (width)^{2}

(diagonal)^{2} = (14)^{2} + (13)^{2}

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diagonal = \sqrt{365} = 19.1cm

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Learn more about Right rectangular prism: brainly.com/question/3317747

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(b) Four cheeses are chosen at random. The probability that all four cheeses are pasteurized is Pr(PPPP) = 0.82 x 0.82 x 0.82 x 0.82 = 0.4521 to 4 decimal places

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It would not be unusual that at least one of four randomly selected cheeses is raw-milk, because the probability have a value between 0 and 1

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If is given that 80% of the cheese is classified as pasteurized.

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