8x + 5y = 177.5 ------ eq (i)

12x + 6y = 255_____3(4x + 2y) = 3(85)______4x + 2y = 85 ---- eq (ii)

- 8x - 4y = - 170 ------- Multiplying eq (ii) by - 2 ------- eq (iii)

 ------- Adding eqs (iii) & (i)

4x + 2(7.5) = 85 ------- Substituting 7.5 for y in eq (ii)

4x + 15 = 85

4x = 70



You can do your own check! 

Answer by greenestamps(13214)   (Show Source): You can put this solution on YOUR website!
 


When the two equations are both in the form Ax+By=C, elimination is virtually always faster than substitution.


Multiply the first equation by 3 and the second by -2 and add; the x variable is eliminated.
   24x+15y =  532.50
  -24x-12y = -510
  ------------------
        3y = 22.50
         y = 7.5



Then substitute that value of y in either of the original equations to find x.


12x+6(7.5) = 255

12x+45 = 255

12x = 210

x = 210/12 = 17.5 

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