document.write( "Question 1034664: I need to solve this equation by the elimination method and keep coming up with zero. I feel I'm missing something. Help would be much appreciated.\r
\n" ); document.write( "\n" ); document.write( "4x-3y=10\r
\n" ); document.write( "\n" ); document.write( "2x-5=3/2y \n" ); document.write( "
Algebra.Com's Answer #649303 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
Well, this is kind of a tricky elimination problem, but here goes...from
\n" ); document.write( "4x-3y=10
\n" ); document.write( "2x-5=3/2y
\n" ); document.write( "let us multiply the bottom equation by two and subtract it from the top one...
\n" ); document.write( "4x - 3y = 10
\n" ); document.write( "-(4x - 10 = 3/y)
\n" ); document.write( "-----------------
\n" ); document.write( "-3y + 10 = 10 - 3/y
\n" ); document.write( "Now subtract 10
\n" ); document.write( "-3y = -3/y
\n" ); document.write( "Now divide by -3
\n" ); document.write( "y = 1/y
\n" ); document.write( "y^2 = 1
\n" ); document.write( "y = 1 or y = -1
\n" ); document.write( "If y = 1, we have
\n" ); document.write( "4x - 3(1) = 10
\n" ); document.write( "4x = 13
\n" ); document.write( "x = 13/4
\n" ); document.write( "If y = -1, we have
\n" ); document.write( "4x - 3(-1) = 10
\n" ); document.write( "4x + 3 = 10
\n" ); document.write( "4x = 7
\n" ); document.write( "x = 7/4
\n" ); document.write( "so it looks like there are two solutions...
\n" ); document.write( "(13/4, 1) and
\n" ); document.write( "(7/4, -1)
\n" ); document.write( "You can check...\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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