Question

Use a matrix to solve the system of equations.

x + 5y = -3

-3x + y = 5

Answer 1

y = (-3-x)/5
y = 5+3x

y = y

5(5+3x) = -3 - x

25 + 15x = -3 -x

16x = -28

x = -28/16 = -7/4
y = good luck finding it

Answer 2

y = 20/4 - 21/4 = -1/4

Answer 3

GT, stop following me around

Answer 4

I think using the matrix approach requires using cramer's rule.
http://en.wikipedia.org/wiki/Cramer's_rule

Look at the section on "Explicit formulas for small systems" that shows how to use it for linear systems with two variables.