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saw5 [17]
3 years ago
12

Help please!! You’d have to find it algebraically!

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Answer: (-6,-5)

Step-by-step explanation:

2x - 2y = -2 ............ equation 1

3x - y = -13 ................ equation 2

solving by substitution method

from equation 2 , make y the subject of the formula, we have

y = 3x + 13 .............. equation 3

substitute equation 3 into equation 1 , we have

2x - 2 (3x + 13 ) = -2

2x - 6x - 26 = -2

-4x - 26 = -2

-4x = -2 +26

-4x = 24

x = 24/-4

x = -6

substitute x = -6 into equation 3 to get the value of y , we have

y = 3(-6) + 13

y = -18 +13

y = -5

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The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given
morpeh [17]

Answer:

  a. x +8z = -1

  b. y +5z = 2

  c. 0 = 0

  d. (x, y, z) = (-1-8z, 2-5z, z)

Step-by-step explanation:

As with the original matrix, the first three columns are the coefficients of the respective variables, and the last column is the constant on the right of the equal sign.

a. The first row represents the equation ...

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b. The second row represents the equation ...

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c. The third row represents the equation ...

  0 = 0

This equation expresses a truth, so indicates the original system of equations was consistent, but dependent. (a third row of 0 0 0 1 would indicate inconsistent, no solution)

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6 0
3 years ago
tinku is fond of collecting spiders and insects. He knows spiders have 8 legs and insects have 6 legs. he counted 36 legs. How m
kvasek [131]
Let, number of spiders = x
number of insects = y

6x + 8y = 36

remember, legs can't be in fraction or decimal.

So, only (3, 2) fits with that.

So, there are 3 spiders & 2 insects in his collection.

Hope this helps!
7 0
3 years ago
Jill collects stamps. Her stamp book has space for 64 stamps. She needs 18 more stamps to fill the book. How many stamps does Ji
d1i1m1o1n [39]

Answer:

46

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3 0
4 years ago
Help ASAP pleaseee!
natulia [17]

Answer:

<h2><em>11.6%</em></h2>

Step-by-step explanation:

The probability of getting a 6 is 1/6.  

The probability of not getting a 6 is 5/6

We roll a die 4 times and want 2 sixes, and 2 not sixes.

i.e.exact 2 6's  

We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this

(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157

Nearest tenth of percent is 0.1157×100=11.6%

Ans :11.6%

3 0
3 years ago
In a certain town, 22% of voters favor a given ballot measure. for groups of 21 voters, find the variance for the number who fav
Galina-37 [17]
<span>c. 4.6
       
21 X .22= 4.6
       
Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.</span>
5 0
3 years ago
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