Question

Which linear system of equations does the matrix represent M=[87|4] [20|5]?

A. 8x + 7y + 4z = 0
2x + 0y + 5z = 0

B. 8x + 7y = 4
2x + 0y = 5z

C. 8x - 7y - 4z = 0
2x + 0y + 5z = 0

D. 8x + 7y = -4
2x + 0y = -5z

Answer 1

The matrix M=[87|4] [20|5] corresponds to the linear system 8x + 7y = 4 and 2x = 5, which is represented by Option B.

Step-by-step explanation:

The matrix M = [8 7 | 4] [2 0 | 5] represents the linear system of equations where each row corresponds to a separate equation. The numbers before the vertical bar within each row represent the coefficients of the variables x and y respectively, and the numbers after the vertical bar represent the constants. In this case, the first row gives the equation 8x + 7y = 4, and the second row gives the equation 2x = 5, as there is no coefficient given for y (which implies 0y).

Therefore, the correct representation of the matrix M as a linear system of equations is:

• 8x + 7y = 4
• 2x = 5

The correct option that corresponds to this system is Option B, which is 8x + 7y = 4 and 2x + 0y = 5.