SOLUTION: What is the solution of this system of equation graphically. x + y =5 -x + y =1

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Question 500020: What is the solution of this system of equation graphically.
x + y =5
-x + y =1

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x+y = 5
subtract x from both sides
y = -x +5
This is the slope-intercept form. It is useful for drawing graphs.
x=0, y = 5: (0,5)
x=5, y = 0: (5,0)
With two points you can draw a line.
.
-x +y = 1
add x to both sides
y = x +1
x=0, y=1: (0,1)
x=-1, y=0: (-1,0)
.
Note that the following graph will show where the lines cross.
That is the point that satisfies both equations simultaneously.
.
graph%28500%2C500%2C-3%2C7%2C-3%2C7%2C-x%2B5%2Cx%2B1%29