Represent the system of equations in augumented matrix form.

Y=1/4x-3
Y=-3x+5

| 1/4 -1 | -3 |

| -3 1 | 5 |

To represent the system of equations in augmented matrix form, we will rewrite the equations in standard form:

1) Y = (1/4)x - 3
2) Y = -3x + 5

Now, we can create the augmented matrix by writing the coefficients of x and y, along with the constants, in a matrix format. The matrix will have two rows, one for each equation, and three columns, one for x, one for y, and one for the constant term.

The augmented matrix for this system of equations is:

[ 1/4 -1 | -3 ]
[ -3 1 | 5 ]