document.write( "Question 104455: Use the substitution method to solve each system and provide the coordinates. I've got most of them, but these ones I keep getting wrong. Can someone help please?
\n" ); document.write( "(1) $\"3x-2y=33%2F2\"$ and $\"x%2F2-11%2F4=2y\"$ \r
\n" ); document.write( "\n" ); document.write( "(2) $\"4x%2B5y%2B1=-10%2B2x\"$ and $\"x-3y%2B2=-1-x\"$ This is not (3,1). :(\r
\n" ); document.write( "\n" ); document.write( "(3) $\"r%2B3s=15\"$ and $\"3r%2B2s=17\"$ This should be the easiest, but it's not (3,4)\r
\n" ); document.write( "\n" ); document.write( "Thanks so much! \n" ); document.write( "

Algebra.Com's Answer #75989 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the substitution method to solve each system and provide the coordinates. I've got most of them, but these ones I keep getting wrong. Can someone help
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document.write( "(1) \r\n" );
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document.write( "First clear them both of fractions.  To clear the first equation of\r\n" );
document.write( "fractions multiply every term by the LCD of 2\r\n" );
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document.write( "which simplifies to\r\n" );
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document.write( " which has no fractions.\r\n" );
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document.write( "To clear the second equation of\r\n" );
document.write( "fractions multiply every term by LCD of 4\r\n" );
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document.write( "which simplifies to\r\n" );
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document.write( " which has no fractions\r\n" );
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document.write( "So now the system of equations to solve is:\r\n" );
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document.write( "Rearranging the second equation like the\r\n" );
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document.write( "To make the y's cancel out, multiply the\r\n" );
document.write( "first equation through by -2\r\n" );
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document.write( "which simplifies to\r\n" );
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document.write( "Now place the second equation directly under\r\n" );
document.write( "this:\r\n" );
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document.write( "Adding term by term gives\r\n" );
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document.write( "To make the x's cancel out, multiply the\r\n" );
document.write( "second equation through by -3.\r\n" );
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document.write( "Now place this equation directly under the\r\n" );
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document.write( "Adding term by term gives\r\n" );
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document.write( "So the solution is (x,y) = (,0)      \r\n" );
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document.write( "(2) \r\n" );
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document.write( "Rearrange the terms of the first equation as \r\n" );
document.write( "Rearrange the terms of the second equation as \r\n" );
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document.write( "The x's will cancel as they are:\r\n" );
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document.write( "Add term by term:\r\n" );
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document.write( "       2y=-12\r\n" );
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document.write( "Substitute -6 for y in the 1st equation:\r\n" );
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document.write( "So the solution is (x,y) = (,-6)\r\n" );
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document.write( "(3)  \r\n" );
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document.write( "To make the r's cancel, multiply the\r\n" );
document.write( "first equation by -3\r\n" );
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document.write( "Now write the second equation under this:\r\n" );
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document.write( "Add term by term:\r\n" );
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document.write( "Substitute 4 for s in \r\n" );
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document.write( "So the solution is (r,s) = (3,4). So\r\n" );
document.write( "yes it it is (3,4)!\r\n" );
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document.write( "Edwin

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