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dsp73
2 years ago
12

Heeelllppppp

Mathematics
1 answer:
Andrei [34K]2 years ago
8 0

Answer:

Hmm. I'm not sure... But I just wanted to say I love your profile picture.

Step-by-step explanation:

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Solve the system of equations by transforming a matrix representing the system of equation into reduced row echelon form.
Gekata [30.6K]

Take the augmented matrix,

\left[\begin{array}{ccc|c}2&1&-3&-20\\1&2&1&-3\\1&-1&5&19\end{array}\right]

Swap the row 1 and row 2:

\left[\begin{array}{ccc|c}1&2&1&-3\\2&1&-3&-20\\1&-1&5&19\end{array}\right]

Add -2(row 1) to row 2, and -1(row 1) to row 3:

\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&-3&4&22\end{array}\right]

Add -1(row 2) to row 3:

\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&9&36\end{array}\right]

Multiply through row 3 by 1/9:

\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&1&4\end{array}\right]

Add 5(row 3) to row 2:

\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&0&6\\0&0&1&4\end{array}\right]

Multiply through row 2 by -1/3:

\left[\begin{array}{ccc|c}1&2&1&-3\\0&1&0&-2\\0&0&1&4\end{array}\right]

Add -2(row 2) and -1(row 3) to row 1:

\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&4\end{array}\right]

So we have \boxed{x=-3,y=-2,z=4}.

3 0
3 years ago
Is (4, -1) the solution of the system of equations shown below?
serious [3.7K]

Answer:

yeah

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Mrs. Golub wants to share $7.20 equally among her three grandchildren. How much money should each grandchild get?
wlad13 [49]

Answer: $2.40

Step-by-step explanation:

$7.20 divided by 3.

7 0
3 years ago
Read 2 more answers
If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
Vlad1618 [11]
<h3>Answer:  29</h3>

=================================

Work Shown:

Solve the second equation for f(b)

2f(b) = 28

f(b) = 28/2

f(b) = 14

----------

Plug in x = b and solve for b

f(x) = 3x-1

f(b) = 3b-1 ... replace every x with b

14 = 3b-1 ..... plug in f(b) = 14

3b-1 = 14

3b = 14+1

3b = 15

b = 15/3

b = 5

-----------

f(x) = 3x-1

f(2b) = 3(2b)-1 .... replace every x with 2b

f(2b) = 3(2*5)-1 .... plug in b = 5

f(2b) = 3*10-1

f(2b) = 30-1

f(2b) = 29

3 0
3 years ago
The temperature outside dropped 13 degrees in 7 hours.The final temperature was -2 degrees.What was the starting temperature
sp2606 [1]

Answer:

11 degrees

Step-by-step explanation:

-2+13=11

7 0
2 years ago
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