document.write( "Question 1068265: Two tables and 3 chairs together cost $200 whereas 3 tables and 2 chairs together cost $250. Find the cost of one table and one chair. \n" ); document.write( "

Algebra.Com's Answer #683453 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = the cost of a table
\n" ); document.write( "Let $\"+b+\"$ = the cost of a chair
\n" ); document.write( "-------------------------------
\n" ); document.write( "(1) $\"+2a+%2B+3b+=+200+\"$
\n" ); document.write( "(2) $\"+3a+%2B+2b+=+250+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+3+\"$
\n" ); document.write( "Multiply both sides of (2) by $\"+2+\"$
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+6a+%2B+9b+=+600+\"$
\n" ); document.write( "(2) $\"+-6a+-+4b+=+-500+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+5b+=+100+\"$
\n" ); document.write( " $\"+b+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+2a+%2B+3b+=+200+\"$
\n" ); document.write( "(1) $\"+2a+%2B+3%2A20+=+200+\"$
\n" ); document.write( "(1) $\"+2a+=+140+\"$
\n" ); document.write( "(1) $\"+a+=+70+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "One table costs $70
\n" ); document.write( "One chair costs $20
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+2a+%2B+3b+=+200+\"$
\n" ); document.write( "(1) $\"+2%2A70+%2B+3%2A20+=+200+\"$
\n" ); document.write( "(1) $\"+140+%2B+60+=+200+\"$
\n" ); document.write( "(1) $\"+200+=+200+\"$
\n" ); document.write( "OK you can check (2)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );