Solve the following system of equations:

-2x + y = 1

4x + y = - 1

1) (3, 1)

2) (-1, 3)

3) (-1, - 3)

4) (1, 3)

We have two equation with two unknowns. Therefore, we can solve the x and y easily. There are a number of methods to apply here but I will be using substitution method. We do as follows:

-2x + y = 1

y = 1 + 2x

4x + y = - 1

4x + 1 + 2x = - 1

6x = - 1 - 1

6x = - 2

x = - 1/3

y = 1 + 2 (-1/3)

y = 1/3