document.write( "Question 16045: solve the problem and describe the steps you used 7 - 4c = 10c \n" ); document.write( "
Algebra.Com's Answer #7866 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "solve the problem and describe the steps you used \n" ); document.write( "7 - 4c = 10c \n" ); document.write( "` \n" ); document.write( "` \n" ); document.write( "7 - 4c = 10c \n" ); document.write( "` \n" ); document.write( "There are two terms on the left. They are 7 and -4c. There is one \n" ); document.write( "term on the right, 10c. \n" ); document.write( "` \n" ); document.write( "We want to get rid of all terms on the left which DON'T contain c, and \n" ); document.write( "get rid of all terms on the right that DO contain c. \n" ); document.write( "` \n" ); document.write( "The term 7 is on the left and does not contain c. So we get rid of it \n" ); document.write( "on the left by adding the opposite of 7, namely -7, to both sides of \n" ); document.write( "the equation: \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` ` ` `7 - 4c = 10c \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` `7 - 4c - 7 = 10c - 7 \n" ); document.write( "` \n" ); document.write( "That gives ` ` ` ` `-4c = 10c - 7 \n" ); document.write( "` \n" ); document.write( "The term 10c on the right contains c. So we get rid of it on the right \n" ); document.write( "by adding the opposite of 10c, namely -10c, to both sides of \n" ); document.write( "the equation: \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` ` -4c - 10c = 10c - 7 - 10c \n" ); document.write( "` \n" ); document.write( "That gives ` ` ` ` -14c = -7 \n" ); document.write( "` \n" ); document.write( "Now we divide both sides of the equation by the coefficient of c on the left, which is -14: \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` ` ` ` `-14c` ` `-7 \n" ); document.write( "` ` ` ` ` ` ` ` ` ------ = ----- \n" ); document.write( "` ` ` ` ` ` ` ` ` ` -14 ` ` -14 \n" ); document.write( "` \n" ); document.write( "Now cancel the -14's on the left, and cancel the negative signs on the right, and get \n" ); document.write( "` ` ` ` ` ` ` ` ` ` ` ` ` ` `7 \n" ); document.write( "` ` ` ` ` ` ` ` ` ` ` `c = ----- \n" ); document.write( "` ` ` ` ` ` ` ` ` ` ` ` ` ` 14 \n" ); document.write( "` \n" ); document.write( "Now reduce 7/14 to 1/2 \n" ); document.write( "` \n" ); document.write( "` ` ` ` ` ` ` ` ` ` ` ` ` ` 1 \n" ); document.write( "` ` ` ` ` ` ` ` ` ` ` `c = --- \n" ); document.write( "` ` ` ` ` ` ` ` ` ` ` ` ` ` 2 \n" ); document.write( "` \n" ); document.write( "Edwin \n" ); document.write( "AnlytcPhil@aol.com \n" ); document.write( " |