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)\"\" \"About 
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( "
\n" );