Answers

1) 8x – 12y = 10;  2/3x - 5/6;  slope = 2/3, y-intercept = -5/6
    6x – 9y = 15;    2/3x - 5/3;  slope = 2/3, y-intercept = -5/3

     consistent, and independent (parallel lines)

2) 9x + 18 = 21y;  3/7x + 6/7;   slope = 3/7,  y-intercept = 6/7
    2x  + 4y = 22;  -1/2x + 11/2; slope = -1/2, y intercept = 11/2

    inconsistent and independent, point of interception (5,3)
 

3) 2x + 3y = 1; -2/3x + 1/3; slope = -2/3, y-intercept = 1/3
   2 - 4x = 6y; -2/3x + 1/3; slope = -2/3, y-intercept = 1/3

    inconsistent (same line)
 
 

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