document.write( "Question 170032: Hi, Can you please help?
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\n" ); document.write( "When given the system of equations of\r
\n" ); document.write( "\n" ); document.write( "\"+system+%283x-5y=11%2C8x%2B7y=9%29+\"
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\n" ); document.write( "If you are solving it using elimination
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\n" ); document.write( "This is how I would solve it
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\n" ); document.write( "I would multiply the whole second equation by \"+5%2F7+\"
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\n" ); document.write( "\"+8x%2B7y=9+\" = \"+%285%2F7%29%288x%2B7y%29=%285%2F7%299+\" = \"+%2840%2F7%29x%2B5y=45%2F7+\"
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\n" ); document.write( "I would then add this equation with the first equation
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\n" ); document.write( "\"+system%28+3x+-+5y+=+11%2C+%2840%2F7%29x%2B5y=45%2F7%29+\"
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\n" ); document.write( "I would then come up with \"+%2861%2F7%29x+=+122%2F7+\", then I solve it, and find that \"x\" = 2, then I would plug in the answer, and find that \"y\" = (-1)
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\n" ); document.write( "Is this how elimination works?
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\n" ); document.write( "Or do you have to do it this way...
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\n" ); document.write( "\"+system+%283x-5y=11%2C8x%2B7y=9%29+\"
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\n" ); document.write( "Multiply the first equation by \"7\" and the second by \"5\"
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\n" ); document.write( "I did the math and came up with
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\n" ); document.write( "\"+system+%2821x-35y=77%2C40x%2B35y=45%29+\"
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\n" ); document.write( "Then add the equations
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\n" ); document.write( "I get \"+61x+=+122+\", and then find \"x\" is \"2\", and \"y\" = (-1)
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\n" ); document.write( "I will be doing quizzes soon, and I perfer the first way, but does elimination mean you do it the second way
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\n" ); document.write( "What I am asking is, is it o.k. to do elimination the first way, or is the second way, the right way to do it?
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\n" ); document.write( "Thanks ahead of time, Levi
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Algebra.Com's Answer #125490 by checkley77(12844)\"\" \"About 
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IF BOTH MATHODS GETS YOU THE CORRECT ANSWERS THEN YOU SHOULD CHOOSE THE SHORTEST METHOD. LESS CHANCE OF MAKING A MISTAKE IN THE MATH & YOU'RE USING WHOLE NUMBERS RATHER THAN FRACTIONS (WHICH CAN GET MESSY OR CONFUSING). \n" ); document.write( "
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