Obtain an equivalent system by performing the stated elementary operation on the system.

Interchange equations 1 and 3.
\[
\begin{array}{r}
5 x-8 y+5 z=3 \\
x-6 z=9 \\
7 x-2 y+8 z=1 \\
9 x-7 y+7 z=6
\end{array}
\]

Answer

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Answer

\(\boxed{\begin{array}{r} 7 x-2 y+8 z=1 \\ x-6 z=9 \\ 5 x-8 y+5 z=3 \\ 9 x-7 y+7 z=6 \end{array}}\)

Steps

Step 1 ：Obtain an equivalent system by performing the stated elementary operation on the system.

Step 2 ：Interchange equations 1 and 3.

Step 3 ：The equivalent system after interchanging the first and third equations is: \[\begin{array}{r} 7 x-2 y+8 z=1 \\ x-6 z=9 \\ 5 x-8 y+5 z=3 \\ 9 x-7 y+7 z=6 \end{array}\]

Step 4 ：\(\boxed{\begin{array}{r} 7 x-2 y+8 z=1 \\ x-6 z=9 \\ 5 x-8 y+5 z=3 \\ 9 x-7 y+7 z=6 \end{array}}\)

Obtain an equivalent system by performing the stated elementary operation on the system. Interchange equations 1 and 3.\[\begin{array}{r}5 x-8 y+5 z=3 \\x-6 z=9 \\7 x-2 y+8 z=1 \\9 x-7 y+7 z=6\end{array}\]

Answer

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Obtain an equivalent system by performing the stated elementary operation on the system.

Interchange equations 1 and 3.
\[
\begin{array}{r}
5 x-8 y+5 z=3 \\
x-6 z=9 \\
7 x-2 y+8 z=1 \\
9 x-7 y+7 z=6
\end{array}
\]