document.write( "Question 157503: Solve by the addition method?\r
\n" ); document.write( "\n" ); document.write( "x + 6y = 32
\n" ); document.write( "-x + 3y = 13\r
\n" ); document.write( "\n" ); document.write( "What is the solution of the system?
\n" ); document.write( "(Type an order pair) \n" ); document.write( "

Algebra.Com's Answer #116060 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x+%2B+6y+=+32\"$ ---------> eqn 1
\n" ); document.write( " $\"-x+%2B+3y+=+13\"$ --------> eqn 2
\n" ); document.write( " $\"9y=45\"$ $\"system%28cross%28x%29%2B6y=32%2Ccross%28-x%29%2B3y=13%29\"$ , cancel out $\"x\"$ since \"+\" & \"-\".
\n" ); document.write( "continuing:
\n" ); document.write( " $\"cross%289%29y%2Fcross%289%29=cross%2845%295%2Fcross%289%29\"$
\n" ); document.write( " $\"y=5\"$
\n" ); document.write( "For $\"x\"$ , go back eqn 1:
\n" ); document.write( " $\"x%2B6%285%29=32\"$
\n" ); document.write( " $\"x=32-30\"$
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( "(x,y) --------> (2,5), FINAL ANSWER
\n" ); document.write( "In doubt? go back eqn 2 this time:
\n" ); document.write( " $\"-2%2B3%285%29=13\"$
\n" ); document.write( " $\"-2%2B15=13\"$
\n" ); document.write( " $\"13=13\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

\n" );