document.write( "Question 1037109: The solution of the following linear system is (13/5 , 1/5). Solve for the values of A and B. Show your work.
\n" ); document.write( "Ax+By=15
\n" ); document.write( "Bx-Ay=25 \r
\n" ); document.write( "\n" ); document.write( "Thanks!
\n" ); document.write( "

Algebra.Com's Answer #651819 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+x+=+13%2F5+\"
\n" ); document.write( "\"+y+=+1%2F5+\"
\n" ); document.write( "-------------
\n" ); document.write( "(1) \"+A%2A%2813%2F5%29+%2B+B%2A%281%2F5%29+=+15+\"
\n" ); document.write( "(2) \"+B%2A%28+13%2F5%29+-+A%2A%281%2F5%29+=+25+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "(1) \"+13A+%2B+B+=+75+\"
\n" ); document.write( "(2) \"+-A+%2B+13B+=+125+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Multiply both sides of (2) by \"+13+\"
\n" ); document.write( "and add the equations
\n" ); document.write( "(1) \"+13A+%2B+B+=+75+\"
\n" ); document.write( "(2) \"+-13A+%2B+169B+=+1625+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "\"+170B+=+1700+\"
\n" ); document.write( "\"+B+=+10+\"
\n" ); document.write( "Plug this result back into (1) or (2)
\n" ); document.write( "(2) \"+-A+%2B+13B+=+125+\"
\n" ); document.write( "(2) \"+-A+%2B+13%2A10+=+125+\"
\n" ); document.write( "(2) \"+-A+%2B+130+=+125+\"
\n" ); document.write( "(2) \"+A+=+5+\"
\n" ); document.write( "------------------
\n" ); document.write( "check answers:
\n" ); document.write( "(1) \"+A%2A%2813%2F5%29+%2B+B%2A%281%2F5%29+=+15+\"
\n" ); document.write( "(1) \"+5%2A%2813%2F5%29+%2B+10%2A%281%2F5%29+=+15+\"
\n" ); document.write( "(1) \"+13+%2B+2+=+15+\"
\n" ); document.write( "OK
\n" ); document.write( "(2) \"+B%2A%28+13%2F5%29+-+A%2A%281%2F5%29+=+25+\"
\n" ); document.write( "(2) \"+10%2A%28+13%2F5%29+-+5%2A%281%2F5%29+=+25+\"
\n" ); document.write( "(2) \"+26+-+1+=+25+\"
\n" ); document.write( "(2) \"+25+=+25+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );