SOLUTION: What is the x- coordinate of the solution to the system of linear equations 3X+6Y=4 AND X-3Y=1, ?

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Question 389869: What is the x- coordinate of the solution to the system of linear equations 3X+6Y=4 AND X-3Y=1,
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


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