document.write( "Question 202098: I need help Solving the following equation set by substitution:
\n" ); document.write( "3x – y = 5
\n" ); document.write( "-6x + 2y = 1\r
\n" ); document.write( "\n" ); document.write( "Here's my try: -3x=6
\n" ); document.write( " /-3 /-3
\n" ); document.write( " x=-2?
\n" ); document.write( "Not sure what to do on this.
\n" ); document.write( "

Algebra.Com's Answer #152360 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "Start with the given system of equations:\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%283x+-+y+=+5%2C-6x+%2B+2y+=+1%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x+-+y+=+5\" Start with the first equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-y=5-3x\" Subtract \"3x\" from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=%285-3x%29%2F%28-1%29\" Divide both sides by \"-1\" to isolate \"y\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=3x-5\" Rearrange the terms and simplify.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-6x+%2B+2%283x-5%29+=+1\" Now plug in \"y=3x-5\" into the second equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-6x%2B6x-10=1\" Distribute.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0x-10=1\" Combine like terms on the left side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0x=1%2B10\" Add \"10\" to both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0x=11\" Combine like terms on the right side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0=11\" Simplify.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since this equation is NEVER true for any \"x\" value, this means that there are no solutions.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the system is inconsistent.
\n" ); document.write( "
\n" ); document.write( "
\n" );