Final answer:
To solve the linear system of equations using substitution, substitute one equation into the other and solve for the variable.
Step-by-step explanation:
To solve the linear system of equations using substitution, you need to substitute one equation into the other and then solve for the variable. Let's solve the given system of equations:
Given equations: y = x-2 and 2x+4 = y
Substitute the value of y from the first equation into the second equation: 2x+4 = x-2
Simplify the equation: 2x - x = -2 - 4
Combine like terms: x = -6
Now substitute the value of x back into either of the original equations to find the value of y:
Using the first equation: y = (-6) - 2 = -8
So the solution to the system of equations is (-6, -8).