document.write( "Question 288829: 3x-2y=4
\n" ); document.write( "2x-y=5
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Algebra.Com's Answer #209301 by brucewill(101)\"\" \"About 
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3x - 2y = 4
\n" ); document.write( "2x - y = 5\r
\n" ); document.write( "\n" ); document.write( "You need to eliminate one of the varaibles. In this case, Multiply the second equation by 2, for the following:\r
\n" ); document.write( "\n" ); document.write( "3x - 2y = 4
\n" ); document.write( "4x - 2y = 10\r
\n" ); document.write( "\n" ); document.write( "Subtract the first statement from the second\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x+=+6%29\"\r
\n" ); document.write( "\n" ); document.write( "Now, substitute back into either equation: (I choose the first)\r
\n" ); document.write( "\n" ); document.write( "3(6) - 2y = 4 subtract 18 from both sides
\n" ); document.write( "-2y = -14 Now divide both sides by -2
\n" ); document.write( "\"highlight%28y+=+7%29\"\r
\n" ); document.write( "\n" ); document.write( "To prove it, substitute back into both equations:
\n" ); document.write( "3(6) - 2(7) = 4
\n" ); document.write( "18 - 14 = 4. correct.\r
\n" ); document.write( "\n" ); document.write( "2(6) - 7 = 5
\n" ); document.write( "12 - 7 = 5. correct.
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