Answer is ( -4, 4 )
Step by step
y = -2x -4 ➡️equation 1
y= 1/2x + 6 ➡️equation 2
Using substitution method, substitute the value of y from equation 1 in for y in equation 2 and solve for x
-2x -4 = 1/2x + 6
Subtract 1/2x from both sides to combine x
-2x -1/2x -4 = 1/2x - 1/2x + 6
Simplify
-2 1/2x -4 = 6
Add 4 to both sides to combine constants
-2 1/2x -4 +4 = 6 + 4
Simplify
-2 1/2x = 10
Divide both sides by -2 1/2 to solve for x
-2 1/2 / -2 1/2 x = 10 / -2 1/2
x = -4
Now substitute -4 for x in the first equation
y = -2(-4) -4
y = 8 - 4
y = 4
So your solution is ( -4, 4)