SOLUTION: What is the solution for the following system of equations? Use ANY method to solve. y = -x +4 y = x - 2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: What is the solution for the following system of equations? Use ANY method to solve. y = -x +4 y = x - 2      Log On


   

Question 1135147: What is the solution for the following system of equations? Use ANY method to solve.
y = -x +4
y = x - 2
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+-x+%2B4+......eq.1
y+=+x+-+2........eq.2
---------------------------------add
y+%2By=+-x+%2B4+%2Bx-2
2y=2
y=1
go to y+=+-x+%2B4+......eq.1, substitute y
1=+-x+%2B4+......solve for x
x=+4+-1
x=3

so, intersection point is (3,1)




Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.
y = -x + 4   (1)

y = x - 2    (2)


Add equations (1) and (2).  The terms "-x" and "x" will cansel each other, and you will get


2y = 4 - 2 = 2    -  hence,  y = 1.


Then from eq(2)  x = y + 2 = 1 + 2 = 3.


ANSWER.  x= 3, y= 1.

Solved.