Question 1030611
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Solve the system of equations by using substitution. Express the answer as an ordered pair:
 x - 5y = 2
9x + 8  = 15y
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Your starting equations are 

     x - 5y = 2        (1)
    9x + 8  = 15y      (2)


From the first equation, express

    x = 5y + 2         (3)

and substitute it into the second equation

    9(5y+2) + 8 = 15y.


Now simplify it and find y

    45y + 18 + 8 = 15y,

    45y - 15y = - 26,

       30y    = -26,

         y = {{{-26/30}}} = {{{-13/15}}}.


Now substitute this value of 'y'  into (3) and find 'x'

    x = {{{5*(-13/15) + 2}}} = {{{5*(-13)+2*15))/15}}} = {{{-35/15}}} = {{{-7/3}}}.


<U>ANSWER</U>.  The solution of the system is  x = {{{-7/3}}},  y = {{{-13/15}}}.
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