Solve the following system of equations:

−2x + y = 1
−4x + y = −1

Question

Solve the following system of equations: 

−2x + y = 1
−4x + y = −1

anonymous · Answer

Try solving through substitution.
−2x + y = 1 is the same as y = 2x + 1

-4x + 2x + 1 = -1

-2x = -2
x = 1

Now plug 1 in for x and solve for y.

anonymous · Answer

To solve this, there are a number of methods. The easiest way here is to solve with elimination. Multiply one of the equations by -1 and then the y's can cancel out.

-2x+y=1
-4x+y=-1 Turns into

2x-y=-1
-4x+y = -1

Now you can just add the two equations together to find x, and then put the value of x back into one of the equations to find y. Once you have that, the solution is written as an ordered pair: (x,y)