SOLUTION: Solve the following systems of equations: 7x-6y= -11 9x-2y= 3 Also, can you please explain how to do a problem like this? That'd be great if you did! Thanks, in advance.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the following systems of equations: 7x-6y= -11 9x-2y= 3 Also, can you please explain how to do a problem like this? That'd be great if you did! Thanks, in advance.      Log On


   

Question 464626: Solve the following systems of equations:
7x-6y= -11
9x-2y= 3
Also, can you please explain how to do a problem like this? That'd be great if you did! Thanks, in advance.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
starting with:
7x-6y= -11
9x-2y= 3
.
we can apply the "addition method" by multiplying the second equation by -3:
7x-6y= -11
-27x+6y= -9
.
Now, we add the two equations together:
7x-6y= -11
-27x+6y= -9
-------------
-20x = -20
x = 1
.
substitute the above into either of the two equations to find y:
9x-2y= 3
9(1)-2y= 3
9-2y= 3
-2y= -6
y = 3
.
Solution: (x,y) = (1,3)