document.write( "Question 208122: SOLVE FOR X: |3x-7|+9=4 \n" ); document.write( "

Algebra.Com's Answer #157444 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"abs%283x-7%29%2B9=4\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%283x-7%29=-5\"$ Subtract 9 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "Since the expression $\"abs%283x-7%29=-5\"$ is never true (note: remember, the absolute value of any number is always positive), there are no solutions to $\"abs%283x-7%29=-5\"$ \r
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\n" ); document.write( "\n" ); document.write( "Also, notice if we graph $\"y=abs%283x-7%29%2B9\"$ and $\"y=4\"$ (just set each side equal to y and graph), we get:\r
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\n" ); document.write( "\n" ); document.write( " $\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cabs%283x-7%29%2B9%2C4%29\"$ Graph of $\"y=abs%283x-7%29%2B9\"$ (red) and $\"y=4\"$ (green)\r
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\n" ); document.write( "\n" ); document.write( "and we can see that the two graphs never intersect. So there are no solutions.
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