document.write( "Question 1045038: 6x+ 4y = 20 000
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Algebra.Com's Answer #660456 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "First eliminate x and solve for y:\r\n" );
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document.write( "6x+ 4y = 20 000\r\n" );
document.write( "2x+ 8y = 15 000\r\n" );
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document.write( "If we multiply the second equation through by -3\r\n" );
document.write( "the -2x will become -6x and we can then add the\r\n" );
document.write( "two equations term by term and the x-terms will \r\n" );
document.write( "cancel and be eliminated.  So we multiply \r\n" );
document.write( "2x+ 8y = 15 000 through by -3 and get \r\n" );
document.write( "-6x-16y = -45 000.  Then we write that\r\n" );
document.write( "underneath the first equation, and add like terms\r\n" );
document.write( "vertically and solve for y:\r\n" );
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document.write( " 6x+ 4y = 20 000\r\n" );
document.write( "-6x-16y =-45 000\r\n" );
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document.write( "   -12y =-15 000\r\n" );
document.write( "      y = (-15 000)/(-12)\r\n" );
document.write( "      y = 1250\r\n" );
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document.write( "Now start over:\r\n" );
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document.write( "6x+ 4y = 20 000\r\n" );
document.write( "2x+ 8y = 15 000\r\n" );
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document.write( "If we multiply the first equation through by -2\r\n" );
document.write( "the 4y will become -8y and we can then add the\r\n" );
document.write( "two equations term by term and the y-terms will \r\n" );
document.write( "cancel and be eliminated.  So we multiply \r\n" );
document.write( "6x+ 4y = 20 000 through by -2 and get \r\n" );
document.write( "-12x-8y = -40 000.  Then we write that\r\n" );
document.write( "underneath the second equation, and add like terms\r\n" );
document.write( "vertically and solve for x:\r\n" );
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document.write( "  2x+ 8y = 15 000\r\n" );
document.write( "-12x- 8y =-40 000\r\n" );
document.write( "-----------------\r\n" );
document.write( "-10x     =-25 000\r\n" );
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document.write( "    -10x =-25 000\r\n" );
document.write( "       x = (-25 000)/(-10)\r\n" );
document.write( "       x = 2500\r\n" );
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document.write( "Edwin
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