document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=239711>Question 239711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELPPPP!!!\r<BR>\n" );
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document.write( "solve each equation below.<BR>\n" );
document.write( "the worksheet is titled: double cross. \r<BR>\n" );
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document.write( "g. x/2+2x/3=5\r<BR>\n" );
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document.write( "t. 5x/6-(3-x)/8=(4x+3)/12\r<BR>\n" );
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document.write( "s. 1/3(a+5)=7/2\r<BR>\n" );
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document.write( "b. (3k-8)/14+5/7=(k+1)/2\r<BR>\n" );
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document.write( "key: / means divide.<BR>\n" );
document.write( "Sorry i wish i could find out a way to write the divide sign as it is on the paper i have so it would be easier to understand. \r<BR>\n" );
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document.write( "I am trying to help my little brother with his math and i am stuck on these problems!! PLEASE PLEASE help... he needs it badly!! help us!!\r<BR>\n" );
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document.write( "THANK YOU!!!!!!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175884 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=175884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> g. x/2+2x/3=5 \r<BR>\n" );
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document.write( "x/2 + 2x/3 = 5<BR>\n" );
document.write( "multiply both sides of the equation by 6 to get:<BR>\n" );
document.write( "3x + 4x = 30<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "7x = 30<BR>\n" );
document.write( "divide both sides of the equation by 7 to get:<BR>\n" );
document.write( "x = 30/7\r<BR>\n" );
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document.write( "substitute in original equation to get:\r<BR>\n" );
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document.write( "x/2 + 2x/3 = 5 becomes:\r<BR>\n" );
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document.write( "(30/7)/2 + (2*(30/7))/3 = 5\r<BR>\n" );
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document.write( "multiply both sides of the equation by 6 to get:\r<BR>\n" );
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document.write( "3*(30/7) + 2*(2*(30/7)) = 6*5\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "90/7 + 120/7 = 30\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "210/7 = 30\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "30 = 30 confirming that x = 30/7 is good.\r<BR>\n" );
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document.write( "It's easiest to remove fractions by multiplying both sides of the equation by a number that will eliminate them.\r<BR>\n" );
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document.write( "Just be careful to multiply both sides of the equation by the same amount to preserve the equality.\r<BR>\n" );
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document.write( "One little slip messes the whole thing up.\r<BR>\n" );
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document.write( "t. 5x/6-(3-x)/8=(4x+3)/12 \r<BR>\n" );
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document.write( "I think this is:\r<BR>\n" );
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document.write( "(5x/6) - (3-x)/8 = (4x+3)/12\r<BR>\n" );
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document.write( "multiply both sides of the equation by 12 to get:<BR>\n" );
document.write( "10x - (12*(3-x))/8 = 4x+3\r<BR>\n" );
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document.write( "multiply both sides of the equation by 8 to get:\r<BR>\n" );
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document.write( "80x - 12*(3-x) = 8*(4x+3)\r<BR>\n" );
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document.write( "simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "80x - 36 + 12x = 32x + 24\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "92x - 36 = 32x + 24\r<BR>\n" );
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document.write( "subtract 32x from both sides of the equation to get:\r<BR>\n" );
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document.write( "92x - 32x - 36 = 24\r<BR>\n" );
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document.write( "add 36 to both sides of the equation to get:\r<BR>\n" );
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document.write( "92x - 32x = 24 + 36\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "60x = 60\r<BR>\n" );
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document.write( "divide both sides of the equation by 60 to get:\r<BR>\n" );
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document.write( "x = 1\r<BR>\n" );
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document.write( "substitute in the original equation to get:\r<BR>\n" );
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document.write( "(5x/6) - (3-x)/8 = (4x+3)/12 becomes:\r<BR>\n" );
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document.write( "(5/6) - (2/8) = (7/12)\r<BR>\n" );
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document.write( "multiply both sides of the equation by 12 to get:\r<BR>\n" );
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document.write( "10 - (24/8) = 7\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "10 - 3 = 7\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "7 = 7 confirming the value of x = 1 is good.\r<BR>\n" );
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document.write( "s. 1/3(a+5)=7/2 \r<BR>\n" );
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document.write( "multiply both sides of the equation by 3 to get:\r<BR>\n" );
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document.write( "a + 5 = 21/2\r<BR>\n" );
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document.write( "multiply both sides of the equation by 2 to get:\r<BR>\n" );
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document.write( "2a + 10 = 21\r<BR>\n" );
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document.write( "subtract 10 from both sides of the equation to get:\r<BR>\n" );
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document.write( "2a = 11\r<BR>\n" );
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document.write( "divide both sides of the equation by 2 to get:\r<BR>\n" );
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document.write( "a = 11/2\r<BR>\n" );
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document.write( "substitute in the original equation to get:\r<BR>\n" );
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document.write( "1/3(a+5)=7/2 becomes:\r<BR>\n" );
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document.write( "(1/3)*((11/2) + 5) = 7/2\r<BR>\n" );
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document.write( "Multiply both sides of the equation by 6 to get:\r<BR>\n" );
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document.write( "6*(1/3)*((11/2)+5) = 6*7/2\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "2*((11/2+5) = 3*7\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( "11 + 10 = 21\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "21 = 21 confirming the value of a = 11/2 is good.\r<BR>\n" );
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document.write( "b. (3k-8)/14+5/7=(k+1)/2 \r<BR>\n" );
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document.write( "I think this is:\r<BR>\n" );
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document.write( "((3k-8)/14) + (5/7) = (k+1)/2\r<BR>\n" );
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document.write( "assuming that it is, then the equation would be solved as follows:\r<BR>\n" );
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document.write( "multiply both sides of the equation by 14 to get:\r<BR>\n" );
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document.write( "(3k-8) + 10 = 7*(k+1)\r<BR>\n" );
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document.write( "simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "3k-8+10 = 7k+7\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "3k+2 = 7k+7\r<BR>\n" );
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document.write( "subtract 3k from both sides of the equation to get:\r<BR>\n" );
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document.write( "2 = 7k+7-3k\r<BR>\n" );
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document.write( "subtract 7 from both sides of the equation to get:\r<BR>\n" );
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document.write( "2-7 = 7k-3k\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "-5 = 4k\r<BR>\n" );
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document.write( "this is the same as:\r<BR>\n" );
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document.write( "4k = -5\r<BR>\n" );
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document.write( "divide both sides of the equation by 4 to get:\r<BR>\n" );
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document.write( "k = -5/4\r<BR>\n" );
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document.write( "substitute in the original equation to get:\r<BR>\n" );
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document.write( "(3k-8)/14) + (5/7) = (k+1)/2 becomes:\r<BR>\n" );
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document.write( "(3*(-5/4) -8)/14 + (5/7) = ((-5/4)+1)/2\r<BR>\n" );
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document.write( "Simplify to get:\r<BR>\n" );
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document.write( "((-15/4)-8)/14 + (5/7) = (-1/4)/2\r<BR>\n" );
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document.write( "multiply both sides of the equation by 14 to get:\r<BR>\n" );
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document.write( "((-15/4) -8) + 10 = 7*(-1/4)\r<BR>\n" );
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document.write( "remove parentheses to get:\r<BR>\n" );
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document.write( "(-15/4) - 8 + 10 = (-7/4)\r<BR>\n" );
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document.write( "Multiply both sides of the equation by 4 to get:\r<BR>\n" );
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document.write( "-15 - 32 + 40 = -7\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "-7 = -7 confirming that x = -5/4 is a good answer.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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