Question 389869
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Hi, 
finding  the x- coordinate of the solution to following system     
3X+6Y=4  OR y = (-3/6)x + 4/6
X-3Y=1   OR y = (1/3)x - 1/3   
when these lines intersect, the y-value will be the same for each.
     (-3/6)x + 4/6 = 1/3x -1/3   Multiplying each term by 6
        -3x  + 4 = 2x  - 2
              6 = 5x
              6/5 = x

CHECKING our Answer:  Note: y = 1/3*6/5 -1/3 = 1/15
   y = (-3/6)x + 4/6
  1/15 =  (-3/6)*6/5 + 4/6 = -18/30 + 20/30 = 2/30 = 1/15