document.write( "Question 310472: I need to write an equation using this scenerio; 56 houses are for sale with two floor plans with x representing plan 1 and y representing plan 2 would this be correct 1x+2y=56 ? part two of the scenerio states that threre are three times as many homes with plan two than for plan 1 write an equation using the same variables as in part 1 of the scenerio. How would I write the equation for part 2 of this scenerio? \n" ); document.write( "

Algebra.Com's Answer #222025 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"x\"$ = number of homes with plan 1
\n" ); document.write( "Let $\"y\"$ = number of homes with plan 2
\n" ); document.write( "Given:
\n" ); document.write( " $\"x+%2B+y+=+56\"$
\n" ); document.write( "There are three times as many homes with plan 2 as with plan 1
\n" ); document.write( "This says $\"y%2Fx+=+3%2F1\"$
\n" ); document.write( " $\"y+=+3x\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"x+%2B+3x+=+56\"$
\n" ); document.write( " $\"4x+=+56\"$
\n" ); document.write( " $\"x+=+14\"$
\n" ); document.write( "and, since $\"y+=+3x\"$
\n" ); document.write( " $\"y+=+3%2A14\"$
\n" ); document.write( " $\"y+=+42\"$
\n" ); document.write( "There are 14 homes using plan 1
\n" ); document.write( "There are 42 homes using plan 2 \n" ); document.write( "

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