SOLUTION: can someone please help me with this problem I have to solve each system by addition x+y=7 x-y=9

Algebra ->  Graphs -> SOLUTION: can someone please help me with this problem I have to solve each system by addition x+y=7 x-y=9      Log On


   



Question 178917: can someone please help me with this problem I have to solve each system by addition
x+y=7
x-y=9

Answer by colliefan(242) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=7
x-y=9
You must combine these equations into one equation by adding each side together:
x+y=7
x-y=9
_________
x+y+x-y = 16

Simplify:
2x=16
x=8

Now, you have a solution for one of the variables, x. Substitute this value for x into either of the original equations to solve for y.
8+y=7
y=-1

Now, you have the solution x=8m y=-1. Substitute these values in to the original equations to confirm that they solve them both. They do.