SOLUTION: How do I solve the system by graphing? 3x + y = 6 3x – y = 0

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Question 81688: How do I solve the system by graphing?
3x + y = 6
3x – y = 0
Found 2 solutions by matthewatcfs, checkley75:
Answer by matthewatcfs(3) About Me  (Show Source):
You can put this solution on YOUR website!
The first thing you would do is solve each equation for y, so that you can get your equations into y = mx + b format (where m is your slope and b is your y-intercept).
Here's how you'd go about that:
3x + y = 6
3x - 3x + y = 6 - 3x
y = -3x + 6

3x - y = 0
3x - y + y = 0 + y
3x = y
or
y = 3x
Now, graph these two lines using their slopes and their y-intercepts and see where they intersect. That point is your "solution."

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
FIRST YOU MUST CONVERT THESE EQUATON TO THE STANDARD LINE FORMULA FORMAT Y=mX+b WHERE THE (m) TERM IS THE SLOPE & THE (b) TERM IS THE Y INTERCEPT.
3X+Y=6, Y=-3X+6
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-Y=-3X, Y=3X
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NOW WE GRAPH:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-3x%2B6%2C+y+=+3x%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -3x +6 and y = 3x).
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it would appear from the graph that the solution is (1,3)