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Rina8888 [55]
3 years ago
9

Someone pls help me with this question. No guessing Use photo below to solve for x

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0
You forgot the picture
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Convert the following systems of equations to an augmented matrix and use Gauss-Jordan reduction to convert to an equilivalent m
Rasek [7]

Answer:

System of equations:

x_1+2x_2+2x_3=6\\2x_1+x_2+x_3=6\\x_1+x_2+3x_3=6

Augmented matrix:

\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]

Reduced Row Echelon matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]

Step-by-step explanation:

Convert the system into an augmented matrix:

\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]

For notation, R_n is the new nth row and r_n the unchanged one.

1. Operations:

R_2=-2r_1+r_2\\R_3=-r_1+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&-3&-3&-6\\0&-1&1&0\end{array}\right]

2. Operations:

R_2=-\frac{1}{3}r_2

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&-1&1&0\end{array}\right]

3. Operations:

R_3=r_2+r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&2&2\end{array}\right]

4. Operations:

R_3=\frac{1}{2}r_3

Resulting matrix:

\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]

4 0
3 years ago
Pls answer number 4 I really need help
valentina_108 [34]
Answer: 540
Hope this helps :D

6 0
3 years ago
For spirit week, a high school club is making wristbands from paper. The wristbands are designed to have a height of 1.8 centime
Vesnalui [34]

Answer:

don't worry be happy come and join crh-tnyi-bru

Step-by-step explanation:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

6 0
3 years ago
I WILL GIVE BRAINLIEST<br><br> Solve for x<br><br> Answer must be simplified<br><br> -4 + x ≤ 9
nydimaria [60]

Answer:

x ≤ 13

Step-by-step explanation:

-4 + x ≤ 9

-4         -4

x ≤ 13

5 0
3 years ago
An amount of $700 was invested at 7% for 7 months. What is the interest? Round your
Levart [38]

Answer:

49 dollars

Step-by-step explanation:

700 times .07

7 0
3 years ago
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