I'm given a problem on my exam review that I don't remember how to solve?

I have to find the values for x and y that make this true:
http://puu.sh/6AmQU.png

Can anyone help me solve this?

Question

I'm given a problem on my exam review that I don't remember how to solve?

I have to find the values for x and y that make this true:
http://puu.sh/6AmQU.png

Can anyone help me solve this?

anonymous · Answer

solve the system 
$$2y+5=x-1\
y-2=3x$$

anonymous · Answer

2y + 6 = x, (y-2)/3 = x?

anonymous · Answer

first equation is the same as 
$2y+6=x$ substitute it in to the second equation and get 
$$y-2=3(2y+6)$$

anonymous · Answer

solve that one for $y$ then substitute back and solve for $x$

anonymous · Answer

Ahhhh that's right. Now it's starting to look familiar. Gimmie a second to solve that

anonymous · Answer

$$y-2=3(2y+6)\
y-2=6y+18\
-20=5y\
-5=y$$

anonymous · Answer

I got y = -4 for some reason

anonymous · Answer

You added 18 to positive 2 instead of negative, your -20 should have been 16

anonymous · Answer

y = -4 checks out because when it's plugged in, x = -2 in both equations