document.write( "Question 561152: At Al's Rent-a-Center, it costs $30 more per month to rent a leather couch than it does to rent a microfiber couch. Pauline rented a leather couch for 8 months and then exchanged it for a microfiber couch, which she rented for 12 months. She paid a total of $1620 to rent these couches. Solve this system of equations to find the monthly rental charge for each couch. \n" ); document.write( "

Algebra.Com's Answer #364179 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = charge / month for microfiber couch
\n" ); document.write( "Let $\"+b+\"$ = charge / month for leather couch
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"++b+=+a+%2B+30+\"$
\n" ); document.write( "(2) $\"+12a+%2B+8b+=+1620+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute (1) into 2)
\n" ); document.write( "(2) $\"+12a+%2B+8%2A%28+a+%2B+30+%29+=+1620+\"$
\n" ); document.write( "(2) $\"+12a+%2B+8a+%2B+240+=+1620+\"$
\n" ); document.write( "(2) $\"+20a+=+1620+-+240+\"$
\n" ); document.write( "(2) $\"+20a+=+1380+\"$
\n" ); document.write( "(2) $\"+a+=+69+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"++b+=+a+%2B+30+\"$
\n" ); document.write( "(1) $\"+b+=+69+%2B+30+\"$
\n" ); document.write( "(1) $\"+b+=+99+\"$
\n" ); document.write( "$69 / month for microfiber couch
\n" ); document.write( "$99 / month for leather couch
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+12%2A69+%2B+8%2A99+=+1620+\"$
\n" ); document.write( "(2) $\"+828+%2B+792+=+1620+\"$
\n" ); document.write( "(2) $\"+1620+=+1620+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );