Question

Which system of equations is represented by the matrix below?

0 5 15
3 -2 9
A. -5y = 15
3x-2y = 9
B. 5y = 15
3x+2y=9
C. 5y = 15
3x-2y=9

Answer 1

The matrix corresponds to the system of equations -5y = 15 and 3x - 2y = 9, which is option A in the given choices.

Step-by-step explanation:

The given matrix represents a system of linear equations. Each row in the matrix corresponds to one equation in the system, with the numbers representing the coefficients of the variables and the constants in the equations.

The correct system of equations represented by the matrix 0 5 15 and 3 -2 9 is given by Option A: -5y = 15 and 3x - 2y = 9.

The first row of the matrix [0 5 15] corresponds to no 'x' term being present and the coefficient of 'y' being 5, leading to the equation -5y=15. Similarly, the second row [3 -2 9] contains coefficients for 'x' and 'y' that lead to the equation 3x - 2y = 9.

Answer 2

Step-by-step explanation:

Answer:

Answer:

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

a column for the values of x in each equation

a column for the values of y in each equation

a column for the independent values of each equation

since our system of equations is:

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

Now for the values of y we have -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

usually there is a line separating the columns for the values of x and y, and the independent values:

this is the matrix of the system of equations