document.write( "Question 1171053: Solve the following pair of simultaneous equations.\r
\n" ); document.write( "\n" ); document.write( "3/5x - 4y = -1
\n" ); document.write( "0.8x - 3.5y = 1/2
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Algebra.Com's Answer #795980 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"%283%2F5%29x+-+4y+=+-1\"$ -> both sides multiply by $\"5\"$
\n" ); document.write( " $\"0.8x+-+3.5y+=+1%2F2\"$ -> both sides multiply by $\"10\"$
\n" ); document.write( "---------------------------------------------
\n" ); document.write( " $\"3x+-+20y+=+-5\"$ .........eq.1
\n" ); document.write( " $\"8x+-+35y+=+5\"$ .........eq.2
\n" ); document.write( "----------------------------\r
\n" ); document.write( "\n" ); document.write( "start with eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"3x+-+20y+=+-5\"$ .........eq.1, solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x=20y++-5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=20y%2F3++-5%2F3\"$ ...........eq.1a\r
\n" ); document.write( "\n" ); document.write( "substitute in eq.2\r
\n" ); document.write( "\n" ); document.write( " $\"8%2820y%2F3++-5%2F3%29+-+35y+=+5\"$ .........eq.2, solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"160y%2F3++-40%2F3+-+35y+=+5\"$ -> both sides multiply by $\"3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"160y++-40+-+105y+=+15\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"160y-+105y+=+15%2B40\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"55y+=55\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=1\"$ \r
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\n" ); document.write( "\n" ); document.write( "go to eq.1a\r
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\n" ); document.write( "\n" ); document.write( " $\"x=20y%2F3++-5%2F3\"$ ...........eq.1a, substitute $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=%2820%2A1%29%2F3++-5%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=20%2F3++-5%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=15%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=5\"$ \r
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\n" ); document.write( "\n" ); document.write( "solutions: $\"x=5\"$ , $\"y+=1\"$ \r
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