document.write( "Question 27446: Please help me solve this problem: \r
\n" ); document.write( "\n" ); document.write( "The solution of the system 4x+5y=2 and 6x-2y=b is (3,a). What are the values of a and b?
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Algebra.Com's Answer #14955 by AnlytcPhil(1806)\"\" \"About 
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Please help me solve this problem: \r\n" );
document.write( "The solution of the system 4x+5y=2 and 6x-2y=b is (3,a).\r\n" );
document.write( "What are the values of a and b?\r\n" );
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document.write( "Since (3,a) is their common solution, it is a solution to both \r\n" );
document.write( "equations. So we substitute \" 3 \" for x and \" a \" for y in the \r\n" );
document.write( "first one:\r\n" );
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document.write( "    4x + 5y = 2\r\n" );
document.write( "4(3) + 5(a) = 2\r\n" );
document.write( "    12 + 5a = 2\r\n" );
document.write( "         5a = -10\r\n" );
document.write( "          a = -2\r\n" );
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document.write( "Now we substitute \" 3 \" for x and \" a \" for y in the second one:\r\n" );
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document.write( "    6x - 2y = b\r\n" );
document.write( "6(3) - 2(a) = b\r\n" );
document.write( "    18 - 2a = b\r\n" );
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document.write( "But since we have already found \" a \" to be -2, we substitute -2\r\n" );
document.write( "for \" a \" and get\r\n" );
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document.write( " 18 - 2(-2) = b\r\n" );
document.write( "     18 + 4 = b        \r\n" );
document.write( "         22 = b\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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