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Solve each of the following systems. Report the answers using the notation (x,y).
x=3y-2
3x+5y=50


Sagot :

3x + 5y = 50
3(3y - 2) + 5y = 50
9y - 2 + 5y = 50
9y + 5y - 2 = 50
14y - 2 = 50
       +2    +2
     14y = 48
      14     14
         y = 3 3/7   
3x + 5(3 3/7) = 50
3x + 17 1/7 = 50
       -17 1/7  -17 1/7
              3x = 32 6/7
               3        3
                x = 10 20/21
          (x, y) = (10 20/21, 3 3/7)