X + 4y = - 6

2x - 5y = 1

x=-2

y=-1

Step-by-step explanation:

x+4y=-6

-4y to both sides

x=-6-4y

2x-5y=1

add 5y to both sides

2x=1+5y

divide both sides by 2

x=1/2+5/2y

set equal to each other

-6-4y=1/2+5/2y

add 6 to both sides

-4y=6 1/2+5/2y

subtract 5/2y from both sides

-13/2y=6 1/2

divide by - 13/2 on both sides

y = - 1

plug that into original equation

x+4 (-1) = -6

x-4=-6

add 4 to both sides

x=-2

(you can check your answer by plugging both back into your original problem and seeing if it equals out)