Question

Solve the following system of equations:

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

(3, 1)

(-1, 3)

(-1, -3)

(1, 3)

Answer 1

Since there is no direction as to what method, this system looks good to use the "elimination" method. In using the elimination, I like to add to eliminate. but this problem is easier to subtract. Subtract equation no. 2 from no. 1
-2x + y = 1
-(-4x + y =-1) Subtracting
---------------
2x = 2
x = 1
Now substitute the value of x (1) in the first equation and solve for y.
-2 + y = 1
y=1 + 2=3
y=3
verify (it checks)