Answer:
(-4,-2)
Explanation:
Since this is substitution, replace the y in the first equation with the one from the bottom.
x+4y=-12
-3x-14=y
x+4(-3x-14)=-12
Now you will solve the problem.
x+4(-3x-14)=-12
Distribute the 4
x-12x-56=-12
put the x's together
-11x-56=-12
add 56 to each side
-11x-56=-12
+56 +56
-11x=44
divide by -11
-11x=44
/-11 /-11
x=-4
Now, plug that x into one of the equations.I will do the top one because it is easy.
x+4y=-12
substitute x
(-4)+4y=-12
Now, solve the equation
-4+4y=-12
Add 4 to both sides
-4+4y=-12
+4 +4
4y=-8
Divide by 4 to both sides
4y=-8
/4 /4
y=-2
Your answer is a ordered pair, so use the format (x,y) to answer
(-4, -2)