Answer:
(x=-2, y=0)
Explanation:
For solving this using substitution, we need to isolate any one variable. x is easy to isolate in equation 1 and y is easy to isolate in equation 2. I will use Equation 1.
x+3y=-2
x=-2-3y
Now x and -2-3y are the same thing because x=-2-3y which means that we can substitute the value of x in the first equation which is -2-3y into x of equation 2 and then solve for y easily.
-3(-2-3y)+y=6
6+9y+y=6
6+10y=6
10y=6-6
y=(6-6)/10
y=0/10=0
Now we got y we can use this y value to find x. Plug the y value into the first equation or second.
x= -2-3(0)
x= -2
Ans= (x=-2, y=0)
You can check this answer by plugging these values in the equations.
-2+3(0)=-2
-3(-2)+0= 6