3x - y = 6 and y = x - 4, use addition to solve the linear system of equations.

Alright, so I'm trying to figure this out, at first I made y = x - 4 into x - y = 4, then thought I could've gotten it wrong and made it into -x + y = 4. In that one, trying to add the two equations together got me -4x = 2, 2/4 = 0.5 and I already know x = 1 and y = -3, but I just don't understand how to get there?

Respuesta :

3x-y=6
y=x-4
solve by substitution
3x-x+4=6
2x=2
x=1

Now that you know x, but in in the equation to find y (either equation will work)
y= 1-4
y= -3

now that you have both answers, let's check them.

3(-1) - (-3) =6
yes, it works....

Hopefully this makes sense!