document.write( "Question 144372: 
Solve this system of equations\r\n" );
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document.write( "18x -  7y = 121\r\n" );
document.write( " 6x - 14y = 122

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Algebra.Com's Answer #105112 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Solve this system of equations\r
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document.write( "You can make the x's cancel, by multiplying\r\n" );
document.write( "every term of the second one by -3, for then\r\n" );
document.write( "the 6x on the bottom equation will become a\r\n" );
document.write( "-18x and that will cancel with the 18x in the\r\n" );
document.write( "first equation.  So we multiply every term of\r\n" );
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document.write( " 6x - 14y = 122\r\n" );
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document.write( "by -3, and that makes it become\r\n" );
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document.write( "-18x + 42y = -366\r\n" );
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document.write( "Now write that under the original first equation:\r\n" );
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document.write( " 18x -  7y =  121\r\n" );
document.write( "-18x + 42y = -366\r\n" );
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document.write( "draw a line underneath and add equals to\r\n" );
document.write( "equals:\r\n" );
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document.write( " 18x -  7y =  121\r\n" );
document.write( "-18x + 42y = -366\r\n" );
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document.write( "  0x + 35y = -245\r\n" );
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document.write( "Drop the 0x\r\n" );
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document.write( "       35y = -245\r\n" );
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document.write( "Divide both sides by 35\r\n" );
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document.write( "         y = -7\r\n" );
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document.write( "So that's the answer for y.\r\n" );
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document.write( "Next we start all over again and make the\r\n" );
document.write( "y's cancel:\r\n" );
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document.write( "18x -  7y = 121\r\n" );
document.write( " 6x - 14y = 122\r\n" );
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document.write( "You can make the y's cancel, by multiplying\r\n" );
document.write( "every term of the first one by -2, for then\r\n" );
document.write( "the -7y in the top equation will become a\r\n" );
document.write( "+14y and that will cancel with the -14y in the\r\n" );
document.write( "bottom equation.  So we multiply every term of\r\n" );
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document.write( " 18x -  7y = 121\r\n" );
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document.write( "by -2, and that makes it become\r\n" );
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document.write( "-36x + 14y = -242\r\n" );
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document.write( "Now write that above the original bottom equation:\r\n" );
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document.write( "-36x + 14y = -242\r\n" );
document.write( "  6x - 14y =  122\r\n" );
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document.write( "draw a line underneath and add equals to\r\n" );
document.write( "equals:\r\n" );
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document.write( "-36x + 14y = -242\r\n" );
document.write( "  6x - 14y =  122\r\n" );
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document.write( "-30x +  0y = -120\r\n" );
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document.write( "Drop the 0y\r\n" );
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document.write( "      -30x = -120\r\n" );
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document.write( "Divide both sides by -30\r\n" );
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document.write( "         y = 4\r\n" );
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document.write( "So the answer is\r\n" );
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document.write( "(x,y) = (-7,4)\r\n" );
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document.write( "When you graph the two lines,\r\n" );
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document.write( "18x -  7y = 121\r\n" );
document.write( " 6x - 14y = 122\r\n" );
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document.write( "Now draw a vertical line from the point where they intersect \r\n" );
document.write( "directly upward to the x-axis:\r\n" );
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document.write( "Notice that it ends right at 4 on the x-axis,\r\n" );
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document.write( "so that checks with x = 4\r\n" );
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document.write( "Now draw a horizontal line from the point where they intersect \r\n" );
document.write( "directly leftward to the y-axis:\r\n" );
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document.write( "Notice that it ends right at -7 on the y-axis,\r\n" );
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document.write( "and that checks with y = -7\r\n" );
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document.write( "Edwin
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