Question

Solve the following system of equations:

−2x + y = 1
−4x + y = −1

(3, 1)

(−1, 3)

(−1, −3)

(1, 3)

Answer 1

You can use a method known as elimination, in which you eliminate one of the variables in order to solve for the other one. In this case, it seems easiest to eliminate y and solve for x. Eliminate y using subtraction:

−2x + y = 1
−4x + y = −1 -
________________
2x = 2
x=1

Plug in x to solve for y:
-2(1) + y = 1
y = 3

Answer 2

(1,3)