document.write( "Question 109762: Solve by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.\r
\n" ); document.write( "\n" ); document.write( "2x + 3y = 1
\n" ); document.write( "5x + 3y = 16
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #80050 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
1.\"2x+%2B+3y+=+1\"
\n" ); document.write( "2.\"5x+%2B+3y+=+16\"
\n" ); document.write( "Multiply equation 2 by (-1) and add,
\n" ); document.write( "\"2x%2B3y-5x-3y=1-16\"
\n" ); document.write( "\"-3x=-15\"
\n" ); document.write( "\"highlight%28x=5%29\"
\n" ); document.write( "From 1,
\n" ); document.write( "1.\"2x%2B3y=1\"
\n" ); document.write( "\"2%285%29%2B3y=1\"
\n" ); document.write( "\"10%2B3y=1\"
\n" ); document.write( "\"3y=-9\"
\n" ); document.write( "\"highlight%28y=-3%29\"
\n" ); document.write( "There is a unique solution.
\n" ); document.write( "
\n" ); document.write( "
\n" );