document.write( "Question 49221: Solve the absolute value equation: | 3 – (3/4)x| = ¼ \n" ); document.write( "
Algebra.Com's Answer #32643 by tutorcecilia(2152)\"\" \"About 
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| 3 – (3/4)x| = ¼ [Change the fractions to decimals]
\n" ); document.write( "| 3 – .75x| = .25 [Abosolute values may have two answers]
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\n" ); document.write( "\n" ); document.write( "3 – (.75)x = .25 [If x>0]
\n" ); document.write( "3-3-(.75)x = .25-3 [Solve for x]
\n" ); document.write( "-.75x = -2.75
\n" ); document.write( "-.75x/-.75 = -2.75/-.75
\n" ); document.write( "x = 3.666
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\n" ); document.write( "\n" ); document.write( "3 – (.75)x = -.25 [If x<0]
\n" ); document.write( "3-3-.75x = -.25-3 [Solve for x]
\n" ); document.write( "-.75x = -3.25
\n" ); document.write( "-.75x/-.75 = -3.25/-.75
\n" ); document.write( "x=4.333
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "So x = 3.666 or x = 4.333
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\n" ); document.write( "Check by plugging in each value of \"x\" back into the original equation.
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