document.write( "Question 730560: |6x-3|=7 \n" ); document.write( "

Algebra.Com's Answer #446728 by hoomanc(14) $\"\"$ $\"About$

You can put this solution on YOUR website!
the absolute value function is always something like this:\r
\n" ); document.write( "\n" ); document.write( "f(X)=|g(x)| if you want to remove absolute sign and write a simple model of function instead it's as follow:\r
\n" ); document.write( "\n" ); document.write( "f(X)=|g(x)| is equal to two different function all the time:\r
\n" ); document.write( "\n" ); document.write( "1) for $\"X%3C0\"$ >>> $\"f%28X%29=-1%2Ag%28x%29\"$ and
\n" ); document.write( "2) for $\"X%3E0\"$ >>> $\"f%28X%29=+1%2Ag%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so in this case:
\n" ); document.write( " $\"f%28X%29=7\"$ and $\"g%28x%29=6x-3\"$
\n" ); document.write( " so,
\n" ); document.write( "1) for $\"X%3C0\"$ >>> $\"7=-1%2A%286x-3%29\"$ >>> $\"7=-6x%2B3%29\"$ >>> $\"4=-6x%29\"$ >> $\"X=-2%2F3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "since you assumed that X should be negative at the first place $\"X%3C0\"$ and you find $\"X=-2%2F3%29\"$ it is a valid answer, otherwise if it was not negative, it was not acceptable.\r
\n" ); document.write( "\n" ); document.write( "2) for $\"X%3E0\"$ >>> $\"f%28X%29=+1%2Ag%28x%29\"$ >>> $\"7=6x-3%29\"$ >>> $\"10=6x%29\"$ >>> $\"X=5%2F3%29\"$ again since it's a positive as we assumed for this case it is acceptable.\r
\n" ); document.write( "\n" ); document.write( "in conclusion the answers are : $\"-2%2F3\"$ and $\"5%2F3\"$ \n" ); document.write( "

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