Question 687768
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Example question: Solve 3 linear equation and graph. 

5x + 6y = 14

     6y = -5x + 14
      
      y = {{{-5/6}}}x + {{{14/6}}}

      y = {{{-5/6}}}x + {{{7/3}}}

compare to 

      y = mx + b

The slope m = {{{5/6}}}

The y-intercept (0,b) is (0,{{{7/3}}})

To graph the line get a couple or three points.

Let x=1               Let x=4             Let x=-2

  5x + 6y = 14        5x + 6y = 14        5x + 6y = 14
5(1) + 6y = 14      5(4) + 6y = 14     5(-2) + 6y = 14
   5 + 6y = 14        20 + 6y = 14       -10 + 6y = 14
       6y = 9              6y = -6             6y = 24
        y = 1.5             y = -1              y = 4               
   point(1,1.5)        point(4,-1)          point(-2,4)

Plot those three points:

{{{drawing(400,400,-6,6,-6,6, graph(400,400,-6,6,-6,6),
circle(1,1.5,.1), circle(4,-1,.1), circle(-2,4,.1),
locate(1+.3,1.5+.3,"(1,1.5)"), locate(4+.3,-1+.3,"(1,1.5)"),
locate(-2+.3,4+.3,"(1,1.5)")
 )}}}
Draw a line through those three points:

{{{drawing(400,400,-6,6,-6,6, graph(400,400,-6,6,-6,6),green(line(-14,14,10,-6)),
circle(1,1.5,.1), circle(4,-1,.1), circle(-2,4,.1),
locate(1+.3,1.5+.3,"(1,1.5)"), locate(4+.3,-1+.3,"(1,1.5)"),
locate(-2+.3,4+.3,"(1,1.5)")
 )}}} 

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-3y + x = 7    Do as above, solve for y to find the slope.

Find three points by substituting x = -2, 1, and 4

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-x + y = 1    Do as above, solve for y to find the slope.

Find three points by substituting x = -4, 0, and 3

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Edwin</pre>