Find the best answers to your questions with the help of IDNLearn.com's knowledgeable users. Our platform provides prompt, accurate answers from experts ready to assist you with any question you may have.

Type the correct answer in each box. Use numerals instead of words.

This system of equations has been placed in a matrix:

[tex]\[ \begin{array}{l}
y = 650x + 175 \\
y = 25,080 - 120x
\end{array} \][/tex]

[tex]\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
& & \text{Column 1} & & \text{Column 2} & & \text{Column 3} & \\
\hline
\hline & & & & & & \\
\hline
\hline \text{Row 1} & & \square & & -1 & & \square \\
\hline
\hline & & & & & & \\
\hline
\hline \text{Row 2} & & 120 & & \square & & \\
\hline
\hline & & & & & & \\
\hline
\end{array}
\][/tex]


Sagot :

Given the system of equations:
[tex]\[ \begin{array}{l} y = 650x + 175 \\ y = 25,080 - 120x \end{array} \][/tex]

We can rewrite these equations in a standard form to insert them into a matrix.

The first equation [tex]\( y = 650x + 175 \)[/tex] can be rearranged to:
[tex]\[ y - 650x = 175 \][/tex]

The second equation [tex]\( y = 25,080 - 120x \)[/tex] can be rearranged to:
[tex]\[ y + 120x = 25,080 \][/tex]

Expressing these equations in a matrix form (where we aim to have [tex]\( ax + by = c \)[/tex]), we get:
[tex]\[ \begin{array}{ccc} -650 & y & 175 \\ 120 & y & 25080 \\ \end{array} \][/tex]

Therefore, filling the given matrix:

[tex]\[ \begin{array}{|c|c|c|c|c|c|l|l|} \hline & & Column 1 & & Column 2 & & Column 3 & \\ \hline \hline & & & & & \\ \hline \hline Row 1 & & -650 & & -1 & & 175 & \\ \hline \hline & & & & & \\ \hline \hline Row 2 & & 120 & & 1 & & 25080 & \\ \hline \hline & & & & & \\ \hline \end{array} \][/tex]
Inserting the identified values, we have:

For Row 1, Column 1: [tex]\(-650\)[/tex] \\
For Row 1, Column 3: [tex]\(175\)[/tex] \\
For Row 2, Column 2: [tex]\(1\)[/tex] \\
For Row 2, Column 3: [tex]\(25080\)[/tex] \\
However, based on the format of our output, we need the second part of the missing entries:

Row 2, Column 3: [tex]\(\boxed{120}\)[/tex]

With this, the matrix should be:

[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline & & Column 1 & & Column 2 & & Column 3 \\ \hline \hline & & & & & \\ \hline \hline Row 1 & & -650 & & -1 & & 175 \\ \hline \hline & & & & & \\ \hline \hline Row 2 & & 120 & & 1 & & 25080 \\ \hline \end{array} \][/tex]

However, remember that type the correct answer only where the squares left.

So, the correct answers for the boxes are:

Row 1 Column 1: [tex]\(\boxed{-650}\)[/tex]

Row 1 Column 3: [tex]\(\boxed{175}\)[/tex]

Row 2 Column 2: [tex]\(\boxed{1}\)[/tex]

Row 2 Column 3: [tex]\(\boxed{120}\)[/tex]