document.write( "Question 1030611: Solve the system of equations by using substitution. Express the answer as an ordered pair:
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\n" ); document.write( "Solve the system of equations by using substitution. Express the answer as an ordered pair:
\n" ); document.write( " x - 5y = 2
\n" ); document.write( "9x + 8 = 15y
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document.write( "Your starting equations are \r\n" );
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document.write( "     x - 5y = 2        (1)\r\n" );
document.write( "    9x + 8  = 15y      (2)\r\n" );
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document.write( "From the first equation, express\r\n" );
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document.write( "    x = 5y + 2         (3)\r\n" );
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document.write( "and substitute it into the second equation\r\n" );
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document.write( "    9(5y+2) + 8 = 15y.\r\n" );
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document.write( "Now simplify it and find y\r\n" );
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document.write( "    45y + 18 + 8 = 15y,\r\n" );
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document.write( "    45y - 15y = - 26,\r\n" );
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document.write( "       30y    = -26,\r\n" );
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document.write( "         y =  = .\r\n" );
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document.write( "Now substitute this value of 'y'  into (3) and find 'x'\r\n" );
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document.write( "    x =  =  =  = .\r\n" );
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document.write( "ANSWER.  The solution of the system is  x = ,  y = .\r\n" );
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