document.write( "Question 1165064: The expression 3[x-2(x-7)] simplifies to the form ax + b. State a. \n" ); document.write( "
Algebra.Com's Answer #789518 by Theo(13342) You can put this solution on YOUR website! expression is 3 * (x - 2 * (x-7)) \n" ); document.write( "2 * (x - 7) simplifies to 2 * x - 14 \n" ); document.write( "equation becomes: \n" ); document.write( "3 * (x - 2 * x + 14) \n" ); document.write( "this simplifies to 3 * x - 3 * 2 * x + 3 * 14 \n" ); document.write( "simplify to get: \n" ); document.write( "3 * x - 6 * x + 42 \n" ); document.write( "combine like terms to get: \n" ); document.write( "-3 * x + 42.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to test if this is correct, let x be equal to any random value. \n" ); document.write( "i chose -55.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with the final expression, this becomes -3 * x + 42 which becomes -3 * -55 +42 which is equal to 207.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with the initial expression, this becomes 3 * (-55 - 2 * (-55 - 7)) which becomes 3 * (-55 - 2 * -62) which becomes 3 * (-55 + 124) which becomes 3 * 69 which is equal to 207.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since both expressions come out with the same value, then the simplified expression is good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your final expression is -3 * x + 42, so your solution is that a = -3.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |