Answer:
B) [tex]\left[\begin{array}{ccc}2&-7\\1&3&\end{array}\right][/tex] X = [tex]\left[\begin{array}{ccc}-1\\-5\end{array}\right][/tex]
Step-by-step explanation:
Given:
2x - 7y = -1
x + 3y = -5
Here we have to follow three steps in order to write the system of linear equations in matrix form.
Step 1: Write the coefficients of the system of equations in one matrix form.
The coefficients are
[tex]\left[\begin{array}{ccc}2&-7\\1&3&\end{array}\right][/tex]
Step 2: Multiply this matrix with the variables x and y
[tex]\left[\begin{array}{ccc}2&-7\\1&3&\end{array}\right][/tex] X
Here "X" represents the variable x and y.
Step 3: Write the numbers which are on the right side of the equations on the right of equal sign
[tex]\left[\begin{array}{ccc}2&-7\\1&3&\end{array}\right][/tex] X = [tex]\left[\begin{array}{ccc}-1\\-5\end{array}\right][/tex]
The answer is B) [tex]\left[\begin{array}{ccc}2&-7\\1&3&\end{array}\right][/tex] X = [tex]\left[\begin{array}{ccc}-1\\-5\end{array}\right][/tex]
