document.write( "Question 61347: |2x+6|=10 \n" ); document.write( "
Algebra.Com's Answer #42227 by mathick(4) You can put this solution on YOUR website! \n" ); document.write( "An absolute value equation such as\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "|y| = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "is really two equations:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 10 and y = -10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Similarly, the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "|2x+6|= 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "is equivalent to the two equations\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 6 = 10 and 2x + 6 = -10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solving these both for x gives the two answers. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The first one, for example is: 2x + 6 = 10. You can solve it at mathick.com, or as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 6 from both sides: 2x = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 2: x = 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solving the second equation gives x = -8, so the two answers are 2 and -8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can plug these back into the original equation to verify that they are correct. \n" ); document.write( " |