document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23035>Question 23035</A>: <I><SPAN STYLE=\"word-break: break-all;\">           i need help on solving linear equations can anyone help me?  \r<BR>\n" );
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document.write( " 1. 3/4(24-20t)+9t=2(5t+1)<BR>\n" );
document.write( " 2. 7(b+2)-4b=2(b+10)<BR>\n" );
document.write( " 3. 2(6-2x)= -9x-1/2(-4x+6)\r<BR>\n" );
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document.write( "                            thank you\r<BR>\n" );
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document.write( "                                      ps. im in 8th grade </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11472 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.  3/4(24-20t) + 9t = 2(5t+1)\r<BR>\n" );
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document.write( "Remember the distributive property?  It works really well here.  Take 3/4 of 24, which is 18 and 3/4 of 20t, which is 15t.  Can you do that?\r<BR>\n" );
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document.write( "3/4(24-20t) + 9t = 2(5t+1)<BR>\n" );
document.write( "18 -15t + 9t = 10t + 2\r<BR>\n" );
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document.write( "Combine like terms:<BR>\n" );
document.write( "18 - 6t = 10t + 2\r<BR>\n" );
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document.write( "Get all the t terms on one side, maybe by adding 6t to each side:<BR>\n" );
document.write( "18 - 6t + 6t = 10t + 6t + 2<BR>\n" );
document.write( "18 = 16t + 2\r<BR>\n" );
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document.write( "Now get all the number terms on the other side (the left side) by subtracting 2 from each side:<BR>\n" );
document.write( "18-2 = 16t + 2 - 2<BR>\n" );
document.write( "16 = 16t\r<BR>\n" );
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document.write( "Divide both sides by 16:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=t ALIGN=MIDDLE  ALT=\"1=t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check by substituting t=1:<BR>\n" );
document.write( "3/4(24-20t) + 9t = 2(5t+1)<BR>\n" );
document.write( "3/4(24-20) + 9 = 2(5+1)<BR>\n" );
document.write( "3/4(4) + 9= 2(6)<BR>\n" );
document.write( "3+9=12<BR>\n" );
document.write( "12=12 It checks!!\r<BR>\n" );
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document.write( "2.  7(b+2)-4b=2(b+10)<BR>\n" );
document.write( "Distributive property again:<BR>\n" );
document.write( "   7b + 14 - 4b = 2b + 20<BR>\n" );
document.write( "3b + 14 = 2b + 20\r<BR>\n" );
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document.write( "Subtract 2b from each side to get variables all on the left side:<BR>\n" );
document.write( "3b - 2b + 14 = 2b - 2b + 20<BR>\n" );
document.write( "b+ 14 = 20\r<BR>\n" );
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document.write( "Subtract 14 from each side to get all number terms on the right:<BR>\n" );
document.write( "b+14 - 14= 20 - 14<BR>\n" );
document.write( "b= 6\r<BR>\n" );
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document.write( "Check by substituting b=6:<BR>\n" );
document.write( "7(b+2)-4b=2(b+10)<BR>\n" );
document.write( "7(6+2) -4*6= 2(6+10)<BR>\n" );
document.write( "7(8)-24= 2(16)<BR>\n" );
document.write( "56-24 = 32<BR>\n" );
document.write( "32=32  It checks!!\r<BR>\n" );
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document.write( "3. 2(6-2x)= -9x-1/2(-4x+6)<BR>\n" );
document.write( "   12 - 4x = -9x + 2x - 3<BR>\n" );
document.write( "  12 - 4x = -7x - 3\r<BR>\n" );
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document.write( "Add +7x to each side to get the variables on the left side:<BR>\n" );
document.write( "12-4x + 7x = -7x + 7x - 3<BR>\n" );
document.write( "12 + 3x = -3\r<BR>\n" );
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document.write( "Subtract 12 from each side to get the variables on the right side:<BR>\n" );
document.write( "12-12 + 3x = -3 -12<BR>\n" );
document.write( "3x = -15\r<BR>\n" );
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document.write( "Divide both sides by 3:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:By substituting x= -5  (This one might be harder to check than it was to solve!):<BR>\n" );
document.write( "2(6-2x)= -9x-1/2(-4x+6)<BR>\n" );
document.write( "2(6-2*-5)= -9*-5 -1/2(-4*-5+6)<BR>\n" );
document.write( "2(6+10)= 45 -1/2(20+6)<BR>\n" );
document.write( "2(16) = 45 -1/2(26)<BR>\n" );
document.write( "32 = 45 - 13<BR>\n" );
document.write( "32= 32  It checks!!\r<BR>\n" );
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document.write( "I remember when I was in the 8th grade!  Abraham Lincoln was the President!!\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( "P.S.  See my lesson plan on Basic Equation Solving in the Equations topic of algebra.com!!\r<BR>\n" );
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