document.write( "Question 175554This question is from textbook
\n" ); document.write( ": You plant a 14-inch hemlock tree in your backyard that grows at a rate of 4 inches per year and an 8-inch blue spruce that grows at a rate of 6 inches per year. In how many years after you plant the trees will the two trees be the same height? How tall will each tree be?\r
\n" ); document.write( "\n" ); document.write( "Need help to set up the problem correctly. Thank You. \n" ); document.write( "

Algebra.Com's Answer #130637 by Mathtut(3670) $\"\"$ $\"About$

You can put this solution on YOUR website!
height of hemlock:lets call h
\n" ); document.write( "height of spruce :lets call s
\n" ); document.write( "call time t
\n" ); document.write( ":
\n" ); document.write( "h=4t+14
\n" ); document.write( ":
\n" ); document.write( "s=6t+8
\n" ); document.write( ":
\n" ); document.write( "we want to know when those will be equal in other words when h=s. So set the equation values of each of those equal to each other
\n" ); document.write( ":
\n" ); document.write( "4t+14=6t+8
\n" ); document.write( ":
\n" ); document.write( "2t=6
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28t=3%29\"$ years
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28h=4%283%29%2B14=26%29\"$ inches
\n" ); document.write( " $\"highlight%28s=6%283%29%2B8=26%29\"$ inches
\n" ); document.write( ": \n" ); document.write( "

\n" );