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.
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]
[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]
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.