If you were to solve the following system of equations by using a matrix, 4x-y=16 and 2x+3y=-18, what would the coefficient matrix be?
a. 4 -16 c. 4 -1
2 -18 2 3
b. 4 -1 -16 d. 4 2
2 3 -18 -1 3

 The correct option is

(c)  

Step-by-step explanation:  We are given to select the correct coefficient matrix if we were to solve the following system of equations by using a matrix :

We know that,

while writing coefficient matrix, the coefficients of x are written in the first column and coefficients of y are written in the second column.

The constant terms are not included in the coefficient matrix.

Therefore, the coefficient matrix for the given system of equations will be

Option (c) is Correct.

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24