# How do you set up and solve the following system using augmented matrices #x-2y=7, 3x+4y=1#?

##### 1 Answer

Please see the explanation.

#### Explanation:

The equation

The equation

Perform elementary row operation until an identity matrix is obtained on the left, then the column on the right will contain the solutions.

We want the coefficient in position

We want the other coefficient in column 1 to be zero, therefore, we perform the following row operation:

We want the coefficient is position

We want the other coefficient in column to be 0, therefore, we perform the following row operation:

We have an identity matrix on the left, therefore the column on the right contains the solution:

Check:

This checks.