Question 81688
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( 300, 200, -6, 5, -10, 10, y = -3x+6, y = 3x) }}} (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)