document.write( "Question 186409: y=3x and x + y=2\r
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\n" ); document.write( "\n" ); document.write( "answer: 1/2, 3/2\r
\n" ); document.write( "\n" ); document.write( "wanted to know how my book got these fractions as answer need full break down \n" ); document.write( "

Algebra.Com's Answer #139711 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(1) $\"y+=+3x\"$ and
\n" ); document.write( "(2) $\"x+%2B+y+=+2\"$
\n" ); document.write( "There are 2 equations and 2 unknowns. Whenever the
\n" ); document.write( "number of unknowns matches the number of equations,
\n" ); document.write( "then a solution is possible.
\n" ); document.write( "First, subtract $\"y\"$ from both sides of (1)
\n" ); document.write( "(1) $\"y+=+3x\"$
\n" ); document.write( "(1) $\"0+=+3x+-+y\"$
\n" ); document.write( "Now simply add (1) and (2)
\n" ); document.write( "(1) $\"3x+-+y+=+0\"$
\n" ); document.write( "(2) $\"x+%2B+y+=+2\"$
\n" ); document.write( "(3) $\"4x+=+2\"$
\n" ); document.write( "(3) $\"x+=+1%2F2\"$
\n" ); document.write( "To find $\"y\"$ , substitute $\"x+=+1%2F2\"$ in (1)
\n" ); document.write( "(1) $\"y+=+3x\"$
\n" ); document.write( "(1) $\"y+=+3%2A%281%2F2%29\"$
\n" ); document.write( "(1) $\"y+=+3%2F2\"$
\n" ); document.write( "The solution is $\"x+=+1%2F2\"$ and $\"y+=+3%2F2\"$ \n" ); document.write( "

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