document.write( "Question 298834: In the problem 3x+4y=6 5x+2y=-4 how do you know that you need to multiply by -2?
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Algebra.Com's Answer #214930 by Alan3354(69443)\"\" \"About 
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In the problem 3x+4y=6 5x+2y=-4 how do you know that you need to multiply by -2?
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\n" ); document.write( "3x+4y=6
\n" ); document.write( "5x+2y=-4
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\n" ); document.write( "Multiplying eqn 2 by -2 will give -4 for the coefficient of y. Then you can add and eliminate the y terms.
\n" ); document.write( "That's not the only way to do it, tho.
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\n" ); document.write( "You can multiply eqn 1 by 5 and eqn2 by 3, then subtract one from the other and eliminate x. The x -2 is the simplest and easiest way (using elimination).
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\n" ); document.write( "Back to your question: how do you know that you need to multiply by -2?
\n" ); document.write( "The answer is, you don't HAVE TO multiply by -2.
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