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The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

The row-echelon form of the augmented matrix of a system of equations is given. Find-example-1

2 Answers

5 votes

Answer: D

Explanation:

User Mags
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6 votes

Answer:

D

Explanation:

Given matrix allows you to write that


\left\{\begin{array}{r}x\ \ +\ \ 5z=1\\y-3z=4\end{array}\right..

Let
z=t. From the last equation,


y=4+3z\Rightarrow y=3t+4.

From the first equation,


x+5z=1\Rightarrow x=1-5t.

Then the solution of the system has form


\left\{\begin{array}{l}x=-5t+1\\y=3t+4\\z=t\end{array}\right.,

where t is any real number.

User Lulijeta
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