document.write( "Question 1073453: Cody and Pranav each improved their yards by planting day lilies and ivy. They bought their supplies from the same store. Cody spent $82 on 6 day lilies and 14 pots of ivy. Perry spent $29 on 3 day lilies and 1 pot of ivy. What is the cost of one day lily and the cost of one pot of ivy? \n" ); document.write( "

Algebra.Com's Answer #688280 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = the cost of 1 day lily
\n" ); document.write( "Let $\"+b+\"$ = the cost of 1 pot of Ivy
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) $\"+6a+%2B+14b+=+82+\"$
\n" ); document.write( "(2) $\"+3a+%2B+b+=+29+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "Multiply both sides of (2) by $\"+2+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+6a+%2B+14b+=+82+\"$
\n" ); document.write( "(2) $\"+-6a+-+2b+=+-58+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( " $\"+12b+=+24+\"$
\n" ); document.write( " $\"+b+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+3a+%2B+b+=+29+\"$
\n" ); document.write( "(2) $\"+3a+%2B+2+=+29+\"$
\n" ); document.write( "(2) $\"+3a+=+27+\"$
\n" ); document.write( "(2) $\"+a+=+9+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "The cost of 1 day lily is $9
\n" ); document.write( "The cost of 1 pot of Ivy $2
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+6a+%2B+14b+=+82+\"$
\n" ); document.write( "(1) $\"+6%2A9+%2B+14%2A2+=+82+\"$
\n" ); document.write( "(1) $\"+54+%2B+28+=+82+\"$
\n" ); document.write( "(1) $\"+82+=+82+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );