document.write( "Question 101735: x(.10)-[.12(10000-x)]=540 \n" ); document.write( "
Algebra.Com's Answer #73991 by Fombitz(32388)![]() ![]() You can put this solution on YOUR website! x(.10)-[.12(10000-x)]=540 \n" ); document.write( "First off, let’s get rid of the decimals by multiplying both sides by 100. \n" ); document.write( "100(x(.10)-[.12(10000-x)])=100(540) Use the distributive property \n" ); document.write( "100x(.10)-100[.12(10000-x)]=54000 \n" ); document.write( "100x(.10)-100[.12(10000-x)]=54000 \n" ); document.write( "10x-[12(10000-x)]=54000 \n" ); document.write( "Start in the parentheses and work your way out. Use the distributive property. \n" ); document.write( "10x-[12(10000)-12x)]=54000 \n" ); document.write( "10x-[120000-12x)]=54000 \n" ); document.write( "10x+(-1)[120000-12x)]=54000 Use the distributive property again. \n" ); document.write( "10x+(-120000)+12x=54000 \n" ); document.write( "22x+(-120000)+120000=54000+120000 Use additive inverse of (-120000) or 120000. \n" ); document.write( "22x=174000 \n" ); document.write( "22x/22=174000/22 Use multiplicative inverse of (22) or 1/(22). \n" ); document.write( "x=174000/22=87000/11 Simplify. \n" ); document.write( "x~7909.1 Approximate answer. \n" ); document.write( " \n" ); document.write( " |