document.write( "Question 81489: Solve each of the following systems by addition. If a unique solution does not exist, state
\n" ); document.write( "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( "
Algebra.Com's Answer #58327 by jainenderkapoor(61)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "2x + 3y = 1 ---- (1)\r
\n" ); document.write( "\n" ); document.write( "5x + 3y = 16 ---- (2)\r
\n" ); document.write( "\n" ); document.write( "Subracting (1) from (2) we get\r
\n" ); document.write( "\n" ); document.write( "5x + 3y - 2x - 3y = 16 - 1
\n" ); document.write( "5x - 2x + 3y - 3y = 16 - 1
\n" ); document.write( "3x = 15
\n" ); document.write( "3x/3 = 15/3 (Dividing both sides by 3)
\n" ); document.write( "x = 5\r
\n" ); document.write( "\n" ); document.write( "Putting this value of x in (1) we get\r
\n" ); document.write( "\n" ); document.write( "2(5) + 3y = 1
\n" ); document.write( "10 + 3y = 1
\n" ); document.write( "10 +3y - 10 = 1-10 (Subtracting 10 from both sides)
\n" ); document.write( "3y = -9
\n" ); document.write( "3y/3 = -9/3 (Dividing both sides by 3)
\n" ); document.write( "y = -3\r
\n" ); document.write( "\n" ); document.write( "So the unique solution is (5, -3)\r
\n" ); document.write( "\n" ); document.write( "Hope the solution is clear to you. In case you have any doubt, you are welcome to contact me at jainenderkapoor@gmail.com. I am also available for online tutoring at reasonable rates.
\n" ); document.write( " \n" ); document.write( "
\n" );