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Sergeu [11.5K]
2 years ago
9

What is the solution for the system of equations? Use the substitution method to solve. Y=5−3x5x−4y=−3 Enter your answer by fill

ing in the boxes. ( , ​ ​).
Mathematics
1 answer:
Taya2010 [7]2 years ago
6 0

Using the substitution method to solve the linear system the value of x and y is 1 and 2 respectively.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width.

Given

The equations are shown below.

y = 5 - 3x .....1

5x - 4y = -3 .....2

Substitute equation 1 in equation 2. Then

\begin{aligned} 5x - 4(5-3x) &= -3\\\\5x - 20 + 12x &= -3\\\\17x &= -3 +20 \\\\17x  &= 17\\\\x &= 1\end{aligned}

Then substitute the value of x in equation 1.

y = 5- 3x\\\\y = 5-3*1\\\\y = 2

Thus, the value of x and y is 1 and 2 respectively.

More about the linear system link is given below.

brainly.com/question/20379472

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4 years ago
In a box containing 25 cherries, 2 of them are rotten. Susan randomly picks cherries in the box. How many cherries should be pic
KengaRu [80]

Answer:

Susan should pick 6 cherries from box, so the probability of picking the 2 rotten cherries is 1/20

Step-by-step explanation:

assuming that each cherry is equally probable to be chosen , since each cherry is independent from the others and sampling is done without replacement , the random variable X= number of cherries that are rotten from the picked ones follows a hyper geometrical distribution , where

P(X=k)= C(M,k) * C(N-M, n-k) / C(N,n)

where

N= population size = 25

n= number of picks

M = total number of rotten cherries =2

k = number of rotten cherries picked =2

C( ) = combination

then

1/20=C(2,2)*C(25-2,n-2)/C(25,n) = 1 * (23!/(n-2)!*(25-n)! / (25!/(n!*(25-n)!

1/20 = n!/(n-2)!  * 1/(24*25)

24*25/20 = n*(n-1)

n²-n-30 =0

n= (1 +√(1+4*1*30))/2 = 12/2= 6

n=6

then Susan should pick 6 cherries from box, so the probability of picking the 2 rotten cherries is 1/20

4 0
3 years ago
What goes up but never comes down?
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Answer:

your age and student debt

Step-by-step explanation:

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Drina wrote the system of linear equation below.
GuDViN [60]

Answer:

(B) a square matrix

Step-by-step explanation:

The given Equations are:

3x-2y=-2,

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-x-11y=-46

Which can be written as:

\left[\begin{array}{ccc}3&-2&2\\7&3&-26\\-1&-11&46\end{array}\right]

Thus, it is a matrix with 3 number of rows and 3 number of columns, therefore the matrix which has same number of rows and columns is a square matrix, thus, a square matrix can be form using the given system of linear equations.

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3 years ago
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