document.write( "Question 275281: Please help me solve this equation.. 3|-8x-9|=117 \n" ); document.write( "
Algebra.Com's Answer #200793 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! 3|-8x-9|=117\r \n" ); document.write( "\n" ); document.write( "We have two cases. First when -8x-9 >= 0 the equation above becomes:\r \n" ); document.write( "\n" ); document.write( "3*(-8x-9) = 117 \n" ); document.write( "-24x - 27 = 117 \n" ); document.write( "-24x = 90 \n" ); document.write( "x = -90/24 = -15/4 when\r \n" ); document.write( "\n" ); document.write( "-8x - 9 >= 0 \n" ); document.write( "8x <= -9 \n" ); document.write( "x <= -9/8 \r \n" ); document.write( "\n" ); document.write( "In the second case when -8x-9 < 0 the original equation becomes:\r \n" ); document.write( "\n" ); document.write( "3*-(-8x-9) = 117 \n" ); document.write( "3*(8x+9) = 117 \n" ); document.write( "24x + 27 = 117 \n" ); document.write( "24x = 90 \n" ); document.write( "x = 90/24 = 15/4 when\r \n" ); document.write( "\n" ); document.write( "-8x-9 < 0 \n" ); document.write( "-8x < 9 \n" ); document.write( "x > 9/-8 \n" ); document.write( "x > -9/8 \r \n" ); document.write( "\n" ); document.write( "The solution set is {15/4, -15/4} \n" ); document.write( " |