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

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

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]`