document.write( "Question 69376: 4/x-7/=40 \n" ); document.write( "

Algebra.Com's Answer #49414 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
4/x-7/=40
\n" ); document.write( "To do this you first isolate the absolute value:
\n" ); document.write( " $\"4%2Aabs%28x-7%29%2F4=40%2F4\"$
\n" ); document.write( " $\"abs%28x-7%29=10\"$ Then you realize that the inside of the absolute value can = -10 or +10 because when you take the absolute value of something it's always positve, so you have two problems to solve:
\n" ); document.write( "x-7=10 or x-7=-10
\n" ); document.write( "x-7+7=10+7 or x-7+7=-10+7
\n" ); document.write( " $\"highlight%28x=17%29\"$ or $\"highlight%28x=-3%29\"$
\n" ); document.write( "To check your answers, let x=17 and -3 and see if the equation equals out in both cases.
\n" ); document.write( "4|17-7|=40 or 4|-3-7|=40
\n" ); document.write( "4|10|=40 or 4|-10|=40
\n" ); document.write( "4(10)=40 or 4(10)=40
\n" ); document.write( "40=40 or 40=40 We're right!!!
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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