SOLUTION: Example question: Solve 3 linear equation and graph. 5x+6y=14; -3y+x=7; -x+y=1

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Question 687768: Example question: Solve 3 linear equation and graph.
5x+6y=14;
-3y+x=7;
-x+y=1
Found 2 solutions by ReadingBoosters, Edwin McCravy:
Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!
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Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Example question: Solve 3 linear equation and graph. 

5x + 6y = 14

     6y = -5x + 14
      
      y = x + 

      y = x + 

compare to 

      y = mx + b

The slope m = 

The y-intercept (0,b) is (0,)

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:


Draw a line through those three points:

 

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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

-----
      
Edwin
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