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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

Verified Answer :

okay the final answer would be C

Answer:  The correct option is

(c)  \(\begin{pmatrix}4&-1\\2&3\end{pmatrix}.\)

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 :

\(4x-y=16\\\\2x+3y=-18\)

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

\(\begin{pmatrix}4&-1\\2&3\end{pmatrix}.\)

Option (c) is Correct.

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