document.write( "Question 113675: Please help.\r
\n" ); document.write( "\n" ); document.write( "Solve each of the following systems 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\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "JMS
\n" ); document.write( "

Algebra.Com's Answer #82742 by Adam(64)\"\" \"About 
You can put this solution on YOUR website!
Multiply the second equation by -1
\n" ); document.write( "and get\r
\n" ); document.write( "\n" ); document.write( "2x + 3y = 1
\n" ); document.write( "-5x - 3y = -16\r
\n" ); document.write( "\n" ); document.write( "add second equation to first\r
\n" ); document.write( "\n" ); document.write( "-3x + 0y = -15
\n" ); document.write( "-3x = -15
\n" ); document.write( "3x = 15
\n" ); document.write( "x = 5\r
\n" ); document.write( "\n" ); document.write( "substitute this into any of the original equations
\n" ); document.write( "2*5 + 3y = 1
\n" ); document.write( "3y = -9
\n" ); document.write( "y = -3\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );