You are given two equations, both containing a x & y value. You can use one of the equations to isolate one of the variables and then substitute it into the other equation so you will have only one variable to solve for.
9x + y = 2
-4x - y = -17
Let's choose the one that looks the easiest to solve for a variable. I think the first one looks good.
Let's solve for y:
y = 2 - 9x
So do you see that we have a value for y in terms of x?
Now we can plug this into the second equation to get rid of the y:
-4x - (2-9x) = -17
Now you can find out what x is. Once you have a numerical value for x, you can plug that number back into either of the equations and find your y value. Okay? Good luck!!
OOPS! Sorry I solved it using substitution. To solve it using elimination, just add the two equations. Put one on top of the other and solve it just like a regular addition problem. You will see that this gets rid of your y values. Then you can plug whatever you get for x into either of the equations and find your y value. Ok? sorry I read it wrong!!