Question

Use substitution to solve the linear system of equations.
{y=x-2
{2x+4=y
(6,-8)
(-6,8)
(-6,-8)
(6,8)

Answer 1

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).