Question

Solve the system of equations.

x + 3y = -1
2x + 2y = 6

Answer 1

first you want to isolate either x or y, which is easy to do in the first equation by subtraction 3y and getting x=-3y-1
then you can solve it by substitution

Answer 2

or multiply equation 1 by -2 and then add the equations...this should eliminate the x's and allow you to solve for y. Then sub what you got for y back into either equation and solve for x.

Answer 3

You can use substitution method to solve this. Take any equation like x+3y=-1 for example.
Isolate the variable x so (-1 - 3y) = x
so since x= -1-3y plug that into the second equation.
2(-1-3y)+2y=6
-2-6y+2y=6 Simplify
-4y-2=6
Now solve for y
-4y=8
y=-2
Since y=-2 now you can solve x (x+3(-2))= -1
x+-6= -1
Subtract -6 on both sides and x= 5
So your answer is (5, -2)