To complete the matrix based on the given system of equations:
[tex]\[
\begin{array}{l}
y = 700x + 200 \\
y = 5000 - 75x
\end{array}
\][/tex]
Here are the steps to transform this system of equations into the matrix form [tex]\( Ax = B \)[/tex]:
1. Align the coefficients of [tex]\( x \)[/tex] and constants from each equation.
The matrix will have the following structure:
[tex]\[
\begin{tabular}{|r|c|c|c|c|c|l|l|}
\hline & & Column 1 & & Column 2 & & Column 3 & \\
\hline \hline & & & & & & & \\
\hline \hline Row 1 & & 700 & & -1 & & 200 & \\
\hline \hline Row 2 & & 75 & & 1 & & 5000 & \\
\hline
\end{tabular}
\][/tex]
So, the completed matrix is:
[tex]\[
\begin{tabular}{|r|c|c|c|c|c|l|l|}
\hline & & Column 1 & & Column 2 & & Column 3 & \\
\hline \hline & & & & & \\
\hline \hline Row 1 & & 700 & & -1 & & 200 \\
\hline \hline Row 2 & & 75 & & 1 & & 5000 \\
\hline
\end{tabular}
\][/tex]
