document.write( "Question 965300: solve by using elimination\r
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Algebra.Com's Answer #590095 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"system%28expr%281%2F4%29x-6y=-70%2C%0D%0A++++++5x%2Bexpr%283%2F4%29y=49%29\"\r\n" );
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document.write( "Before using elimination, get rid of the fractions by \r\n" );
document.write( "multiplying them through by the least common denominator of 4:\r\n" );
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document.write( "\"%22%3C---%3E%22\"\r\n" );
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document.write( "We notice that the y terms will cancel if we multiply the second \r\n" );
document.write( "equation through by 8 to make the +3y become +24y. then it will\r\n" );
document.write( "cancel with the -24y term in the first equation:\r\n" );
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document.write( "      \"x\"\"%22%22=%22%22\"\"1288%2F161\"\r\n" );
document.write( "      \"x\"\"%22%22=%22%22\"\"8\" \r\n" );
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document.write( "Finish by subtituting 8 for x in any of the above equations\r\n" );
document.write( "which contain both letters.  I'll pick this one\r\n" );
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document.write( "\"matrix%281%2C5%2C20x%2C%22%22%2B%22%22%2C3y%2C%22%22=%22%22%2C196%29%29\"\r\n" );
document.write( "\"matrix%281%2C5%2C20%288%29%2C%22%22%2B%22%22%2C3y%2C%22%22=%22%22%2C196%29%29\"\r\n" );
document.write( "\"matrix%281%2C5%2C160%2C%22%22%2B%22%22%2C3y%2C%22%22=%22%22%2C196%29%29\"\r\n" );
document.write( "\"matrix%281%2C5%2C%22%22%2C%22%22%2C3y%2C%22%22=%22%22%2C36%29%29\"\r\n" );
document.write( "\"matrix%281%2C5%2C%22%22%2C%22%22%2Cy%2C%22%22=%22%22%2C12%29%29\"\r\n" );
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document.write( "The solution is (x,y) = (8,12)\r\n" );
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document.write( "b.) \"system%28expr%281%2F4%29x%2Bexpr%2833%2F2%29=y%2C%0D%0A++++++y-12=-2x%29\"\r\n" );
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document.write( "Multiply the first one through by 4\r\n" );
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document.write( "\"system%28x%2B66=4y%2Cy-12=-2x%29\"\r\n" );
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document.write( "Now we need to line the terms up su that the x terms come first,\r\n" );
document.write( "the y-terms come second, the equal signs come third and the constant\r\n" );
document.write( "terms come fourth.  We do that by adding and subtracting terms from\r\n" );
document.write( "both sides until they get like this:\r\n" );
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document.write( "We notice that the x terms will cancel if we multiply the first \r\n" );
document.write( "equation through by -2 to make the x become -2x. Then it will\r\n" );
document.write( "cancel with the 2x term in the second equation:\r\n" );
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document.write( "      \"y\"\"%22%22=%22%22\"\"144%2F9\"\r\n" );
document.write( "      \"y\"\"%22%22=%22%22\"\"16\" \r\n" );
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document.write( "Finish by subtituting 16 for y in any of the above equations\r\n" );
document.write( "which contain both letters.  I'll pick this one\r\n" );
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document.write( "\"matrix%281%2C5%2C2x%2C%22%22%2B%22%22%2Cy%2C%22%22=%22%22%2C12%29%29\"\r\n" );
document.write( "\"matrix%281%2C5%2C2x%2C%22%22%2B%22%22%2C16%2C%22%22=%22%22%2C12%29%29\"\r\n" );
document.write( "\"matrix%281%2C5%2C%22%22%2C%22%22%2C2x%2C%22%22=%22%22%2C-4%29%29\"\r\n" );
document.write( "\"matrix%281%2C5%2C%22%22%2C%22%22%2Cx%2C%22%22=%22%22%2C%28-4%29%2F2%29%29\"\r\n" );
document.write( "\"matrix%281%2C5%2C%22%22%2C%22%22%2Cx%2C%22%22=%22%22%2C-2%29%29\"\r\n" );
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document.write( "The solution is (x,y) = (-2,16)\r\n" );
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document.write( "Edwin
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