How do you solve the system using matrices.-x+2y=1.5 2x-4y=3

You can use the scientific TI-83 or TI-84 to find the
solution of this system of equations.

Press 2nd then X^-1
button.

Set up your matrix by 2 x
3

enter the values as following for your variables on left
side and constant on the right side in the martrix as
following:

-1      2       
1.5

2        -4       3

Then
press 2nd MODE

Then go back to 2nd
Matrix

Go to MATH

Go to B:
rref (    press ENTER

Go Back to 2nd
MATRIX

Press enter on [A]
matrix

Then press ENTER
again

The solution for this matrix
is

0, 1

There is no real
solution to this matrix, since the value of one of the variable is
zero.