SOLUTION: I dont understand the following: solve by graphing x+y=7 2x-y=5 The instructions also say if you solve the system and the variables both add out, you need to tell whether the sy

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: I dont understand the following: solve by graphing x+y=7 2x-y=5 The instructions also say if you solve the system and the variables both add out, you need to tell whether the sy      Log On


   



Question 88314: I dont understand the following: solve by graphing
x+y=7
2x-y=5
The instructions also say if you solve the system and the variables both add out, you need to tell whether the system consists of lines that coincide (infinite solutions) or parallel lines(no solution)

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Just add the two equations together, and the y terms subtract out:
x+y=7
2x-y=5
--------------
3x=12
x=4

Substitute back into the first equation:
x+y=7
4+y=7
y=3

Check by substituting both values in the second equation:
2x-y=5
2*(4)-3=5
It checks.

The solution is the point (4,3).

R^2