document.write( "Question 27889: 12. Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.\r
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\n" ); document.write( "5x + 3y = 16 \n" ); document.write( "
Algebra.Com's Answer #15203 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
Solve each of the following systems by addition. \r\n" );
document.write( "If a unique solution does not exist, state whether the\r\n" );
document.write( "system is inconsistent or dependent. \r\n" );
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document.write( "2x + 3y =  1\r\n" );
document.write( "5x + 3y = 16\r\n" );
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document.write( "To make the y's cancel, get the LCM of their coefficients\r\n" );
document.write( "3 and 3 which is 3. Multiply the first equation through by 1\r\n" );
document.write( "to keep 3y as it is.  Multiply the second equation through by\r\n" );
document.write( "-1 to make it become -3y\r\n" );
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document.write( " 1[2x + 3y =  1]\r\n" );
document.write( "-1[5x + 3y = 16]\r\n" );
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document.write( "Don't forget to multiply BOTH SIDES, not just the left side.\r\n" );
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document.write( "   2x + 3y =   1\r\n" );
document.write( "  -5x - 3y = -16 \r\n" );
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document.write( "Now we add those vertically:\r\n" );
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document.write( "   2x + 3y =   1\r\n" );
document.write( "  -5x - 3y = -16\r\n" );
document.write( " 覧覧覧覧覧覧覧覧予r\n" );
document.write( "  -3x      = -15\r\n" );
document.write( "         x = 5\r\n" );
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document.write( "2x + 3y = 1\r\n" );
document.write( "5x + 3y = 16\r\n" );
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document.write( "To make the x's cancel, get the LCM of their coefficients \r\n" );
document.write( "2 and 5 which is 10. Multiply the first equation through by\r\n" );
document.write( "5 to make 2x become 10x.  Multiply the second equation \r\n" );
document.write( "through by by -2 to make it become -10x\r\n" );
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document.write( " 5[2x + 3y =  1]\r\n" );
document.write( "-2[5x + 3y = 16]\r\n" );
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document.write( "Afain, don't forget to multiply BOTH SIDES, not just the left side.\r\n" );
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document.write( "  10x + 15y =   5\r\n" );
document.write( " -10x -  6y = -32 \r\n" );
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document.write( "Now we add those vertically:\r\n" );
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document.write( "  10x + 15y =   5\r\n" );
document.write( " -10x -  6y = -32 \r\n" );
document.write( "覧覧覧覧覧覧覧覧予r\n" );
document.write( "         9y = -27\r\n" );
document.write( "          y = -3\r\n" );
document.write( " \r\n" );
document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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