Solve the following equation.

y = 6 - x and y = x - 2

To solve the given equation, we need to find the value of x and y that satisfies both equations.

First, we'll set the two equations equal to each other:
6 - x = x - 2

Next, let's simplify the equation:
6 + 2 = x + x
8 = 2x

Now, we'll divide both sides of the equation by 2 to isolate x:
8/2 = 2x/2
4 = x

Now that we have x, we can substitute it back into one of the original equations to find y.
Let's substitute x = 4 into y = x - 2:
y = 4 - 2
y = 2

Therefore, the solution to the equation is x = 4 and y = 2.

To solve the equation:

1. Set the two equations equal to each other:

6 - x = x - 2

2. Simplify the equation by combining like terms:

6 + 2 = x + x
8 = 2x

3. Divide both sides of the equation by 2 to solve for x:

8/2 = 2x/2
4 = x

4. Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:

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

Therefore, the solution to the equation is x = 4 and y = 2.

Use comparison method:

6-x=y=x-2
means
6-x=x-2
Solve for x and substitute into the original equations to solve for y.