document.write( "Question 99034: I'm having trouble with this. Please help.\r
\n" );
document.write( "\n" );
document.write( "2x + 4/3 + 3x + 7/5 = 10x + 11/3 The number 3 after the first slash is under the 2x + 4 and the same with the /5 and /3. I wasn't sure how to write it. \n" );
document.write( "
Algebra.Com's Answer #72117 by Msgenes(10)![]() ![]() ![]() You can put this solution on YOUR website! (2x+4)/3 + 3x + 7/5 = 10x + 11/3 \n" ); document.write( "Ok the first step that we will take to solve this problem is to rewrite the problem using common demoninator.\r \n" ); document.write( "\n" ); document.write( "2x/3(5/5)+ 4/3(5/5) + 3x + 7/5(3/3) = 10x + 11/3(5/5)\r \n" ); document.write( "\n" ); document.write( "Now that we have done that we can start solving the problem.\r \n" ); document.write( "\n" ); document.write( "10x/15 + 20/15 + 3x + 21/15 = 10x + 55/15\r \n" ); document.write( "\n" ); document.write( "This next step may be a bit tricky but we will add 3x to 10x/15. We do this by multiplying 15 times 3x and then adding that total to 10x. \n" ); document.write( "15 * 3x = 45x...Now add 45 to 10x...45+10x= 55x...Now moving on with the problem. \n" ); document.write( "Next we add 20/15 to 21/15...20/15+21/15=41/15\r \n" ); document.write( "\n" ); document.write( "55x/15 + 41/15 = 10x + 55/15\r \n" ); document.write( "\n" ); document.write( "Now we want to get x on a side by itself and we by substracting 41/15 on both sides and substracting 10x on both sides\r \n" ); document.write( "\n" ); document.write( "55x/15 + 41/15 - 41/15 -10x = 10x + 55/15 - 10x - 41/15\r \n" ); document.write( "\n" ); document.write( "55x/15 - 10x = 55/15 - 41/15\r \n" ); document.write( "\n" ); document.write( "Now just like we did before we are going to multiply 15 times 10x. 15 * -10x = 150x...-150x+55x=-95x\r \n" ); document.write( "\n" ); document.write( "-95x/15 = 14/15\r \n" ); document.write( "\n" ); document.write( "Now we are able to get x by itself and we do this by dividing -95x/15 on both sides.\r \n" ); document.write( "\n" ); document.write( "(-95x/15)/(-95/15) = (14/15)/(-95/15)\r \n" ); document.write( "\n" ); document.write( "Now we see that -95/15 cancels out and leaves us with just x and on the other side 15 cancels out and leaves us with -14/95...moving on\r \n" ); document.write( "\n" ); document.write( "x = -14/95\r \n" ); document.write( "\n" ); document.write( "And that is it...Hope this help you in anyway...Good Luck...:)\r \n" ); document.write( "\n" ); document.write( "Ok after review the problem again i realize that someone else had already solved the problem..If I read your problem correct the first time then the first solution is correct but if I read it wrong then the second solution is correct. \r \n" ); document.write( "\n" ); document.write( "In according to the way you explain your problem after reading it a second time. \n" ); document.write( "I do not suggest that you get rid of fractions because you will be using them for the rest of your life. So this is how I worked it. \n" ); document.write( "(2x+4)/3 + (3x+7)/5 = (10x+11)/3\r \n" ); document.write( "\n" ); document.write( "2x/3(5/5)+4/3(5/5)+ 3x/5(3/3)+7/5(3/3)= 10x/3(5/5)+ 11/3(5/5)\r \n" ); document.write( "\n" ); document.write( "10x/15 + 20/15 + 9x/15 + 21/15 = 50x/15 + 55/15\r \n" ); document.write( "\n" ); document.write( "19x/15 + 41/15 = 50x/15 + 55/15\r \n" ); document.write( "\n" ); document.write( "19x/15 + 41/15 - 41/15 -50x/15 =50x/15 + 55/15 - 50x/15 -41/15\r \n" ); document.write( "\n" ); document.write( "-31x/15 = 14/15\r \n" ); document.write( "\n" ); document.write( "(-31x/15)/(-31/15)= (14/15)/(-31/15)\r \n" ); document.write( "\n" ); document.write( "Now -31/15 cancels out and so does 15 on the other side.\r \n" ); document.write( "\n" ); document.write( "x = -14/31 \n" ); document.write( " \n" ); document.write( " |