document.write( "Question 1178089: a-2b=9 2a-3b=4 \n" ); document.write( "

Algebra.Com's Answer #807405 by ikleyn(52782) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " The solution by @josgarithmetic giving the answer a= 37, b= -14 is INCORRECT.\r
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\n" ); document.write( "\n" ); document.write( " I came to bring you the correct solution.\r
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document.write( "Your starting equations are\r\n" );
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document.write( "     a - 2b = 9     (1)\r\n" );
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document.write( "    2a - 3b = 4     (2)\r\n" );
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document.write( "To solve the system, express a = 2b + 9 from the first equation and substitute it into the second equation, \r\n" );
document.write( "replacing  \"a\" there.  You will get\r\n" );
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document.write( "    2*(2b+9) - 3b = 4\r\n" );
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document.write( "    4b + 18 - 3b = 4\r\n" );
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document.write( "    4b - 3b = 4 - 18 \r\n" );
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document.write( "       b    = -14.\r\n" );
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document.write( "Now from equation (1),  a = 2b + 9 = 2*(-14) + 9 = -28 + 9 = -19.\r\n" );
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document.write( "ANSWER.  a= -19;  b= -14.\r\n" );
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document.write( "CHECK.  To check the solution, substitute the found values \"a\" and \"b\" into the original equations.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved (correctly).\r
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\n" ); document.write( "\n" ); document.write( "For your safety, ignore the post by @josgarithmetic.\r
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