Question

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

This system of equations has been placed in a matrix:
y = 700x + 200
y = 5,000 - 75x
Complete the matrix by filling in the missing numbers.
Column 1: 75
Column 2: -1
Column 3: 200

Answer 1

The completed matrix for the system of equations y = 700x + 200 and y = 5,000 - 75x is [700 -1 200] for the first row and [-75 -1 5000] for the second row.

Step-by-step explanation:

To complete the matrix for the system of equations given as y = 700x + 200 and y = 5,000 - 75x, we need to align these equations to a standard format that can be placed into a matrix. The standard form for a system of linear equations is Ax + By = C, where A, B, and C are the coefficients and constants we will place into our matrix.

For the first equation, the coefficient of x is 700 and the constant is 200, so that row in our matrix will be [700 -1 200]. For the second equation, the coefficient of x is -75, and since the equation is set equal to 5,000, the row in the matrix will be [-75 -1 5000]. Therefore, the completed matrix is:

• First Row: [700 -1 200]
• Second Row: [-75 -1 5000]