Assuming your asking for two sets of systems of equations.
#1:
Steps:
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -y - 2
// Plug this in for variable x in equation [1]
[1] y - 4•(-y -2) = 3
[1] 5y = -5
// Solve equation [1] for the variable y
[1] 5y = - 5
[1] y = - 1
// By now we know this much :
y = -1
x = -y-2
// Use the y value to solve for x
x = -(-1)-2 = -1
Solution :
{y,x} = {-1,-1}
2:
Steps:
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -y + 2
// Plug this in for variable x in equation [1]
[1] y + 6•(-y +2) = -3
[1] -5y = -15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
y = 3
x = -y+2
// Use the y value to solve for x
x = -(3)+2 = -1
Solution :
{y,x} = {3,-1}