Use substitution to solve the linear system of equations.

{y=x-2
{2x+4=y
(6,-8)
(-6,8)
(-6,-8)
(6,8)

1 answer

To use substitution, we need to solve one of the equations for one of the variables, and then substitute this expression into the other equation. Let's solve the first equation for y:

y = x - 2

Now we can substitute this expression for y in the second equation:

2x + 4 = x - 2

Solving for x:

2x - x = -2 - 4
x = -6

Now we can substitute this value for x in either equation to solve for y. Let's use the first equation:

y = -6 - 2
y = -8

Therefore, the solution to the system of equations is (-6, -8).