Question

Which matrix equation represents this linear system? 2x-7y=-1 x+3y=-5 capture.jpg

Answer 1

The second matrix system is the correct answer

Answer 2

Answer:

B) $\left[\begin{array}{ccc}2&-7\\1&3&\end{array}\right]$ X = $\left[\begin{array}{ccc}-1\\-5\end{array}\right]$

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

$\left[\begin{array}{ccc}2&-7\\1&3&\end{array}\right]$

Step 2: Multiply this matrix with the variables x and y

$\left[\begin{array}{ccc}2&-7\\1&3&\end{array}\right]$ 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

$\left[\begin{array}{ccc}2&-7\\1&3&\end{array}\right]$ X = $\left[\begin{array}{ccc}-1\\-5\end{array}\right]$

The answer is B) $\left[\begin{array}{ccc}2&-7\\1&3&\end{array}\right]$ X = $\left[\begin{array}{ccc}-1\\-5\end{array}\right]$