document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231066>Question 231066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me slove this question .this is from california geometry book.\r<BR>\n" );
document.write( "\n" );
document.write( ": Solve each equation. and how did you slove it ? \r<BR>\n" );
document.write( "\n" );
document.write( "1.) 6x - 42 = 4x \r<BR>\n" );
document.write( "\n" );
document.write( "2.) 8 - 3n = -2 + 2n\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3.) 3(y + 2) = -12 + y \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4.) 12 + 7x = x - 18\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5) 3x + 4 = 1 dividing by2x -5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "6)  2 - 2x = 2 dividing by 3x -2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7)Mark bought 3 CDs and spent $24.<BR>\n" );
document.write( "Write and solve an equation for the<BR>\n" );
document.write( "average cost of each CD. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "...................\r<BR>\n" );
document.write( "\n" );
document.write( "please help me out . thank you in advance .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171340 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Solve each equation. and how did you solve it ?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We want to perform operations on both sides of the equation so we get the variable (x on the 1st one) by itself on one side<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1.) 6x - 42 = 4x<BR>\n" );
document.write( "Add 42 to both sides and we have<BR>\n" );
document.write( "6x = 4x + 42<BR>\n" );
document.write( "Subtract 4x from both sides<BR>\n" );
document.write( "6x - 4x = 42<BR>\n" );
document.write( "2x = 42<BR>\n" );
document.write( "Divide both sides by x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F2 ALIGN=MIDDLE  ALT=\"42%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 21<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the original equation<BR>\n" );
document.write( " 6x - 42 = 4x<BR>\n" );
document.write( "Replace x  with 21<BR>\n" );
document.write( "6(21) - 42 = 4(21)<BR>\n" );
document.write( "126 - 42 = 84<BR>\n" );
document.write( "84 = 84; equality! prove that x=21 is correct<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2.) 8 - 3n = -2 + 2n<BR>\n" );
document.write( "On this we will isolate n on the right, to keep it positive<BR>\n" );
document.write( "Add 3n to both sides<BR>\n" );
document.write( "8 = -2 + 2n + 3n<BR>\n" );
document.write( "8 = -2 + 5n<BR>\n" );
document.write( "add 2 to both sides<BR>\n" );
document.write( "8 + 2 = 5n<BR>\n" );
document.write( "10 = 5n<BR>\n" );
document.write( "Divide both sides by 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F5 ALIGN=MIDDLE  ALT=\"10%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = n<BR>\n" );
document.write( "n = 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Prove this one n the original equation<BR>\n" );
document.write( "8 - 3n = -2 + 2n<BR>\n" );
document.write( "8 - 3(2) = -2 + 2(2)<BR>\n" );
document.write( "8 - 6 = -2 + 4; equality!<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3.) 3(y + 2) = -12 + y<BR>\n" );
document.write( "Multiply both terms inside the brackets by 3, remove the brackets:<BR>\n" );
document.write( "3y + 6 = -12 + y<BR>\n" );
document.write( "subtract y from both sides<BR>\n" );
document.write( "3y - y + 6 = -12<BR>\n" );
document.write( "subtract 6 from both sides<BR>\n" );
document.write( "2y = -12 - 6<BR>\n" );
document.write( "2y = -18<BR>\n" );
document.write( "divide both sides by 2<BR>\n" );
document.write( "y = {{-9<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution. replace y with -9<BR>\n" );
document.write( "3(-9 + 2) = -12 + (-9)<BR>\n" );
document.write( "3(-7) = -12 - 9<BR>\n" );
document.write( "-21 = -21!!<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "4.) 12 + 7x = x - 18<BR>\n" );
document.write( "Subtract 12 from both sides<BR>\n" );
document.write( "7x = x - 18 - 12<BR>\n" );
document.write( "7x = x - 30<BR>\n" );
document.write( "Subtract x from both sides<BR>\n" );
document.write( "7x - x = -30<BR>\n" );
document.write( "6x = -30<BR>\n" );
document.write( "Divide both sides by 6<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-30%29%2F6 ALIGN=MIDDLE  ALT=\"%28-30%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "12 + 7(-5) = -5 - 18<BR>\n" );
document.write( "12 - 35 = -23<BR>\n" );
document.write( "-23 = -23!!<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "5) 3x + 4 = 1 dividing by2x -5<BR>\n" );
document.write( "Assume the problem is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B4%29%2F%282x-5%29 ALIGN=MIDDLE  ALT=\"%283x%2B4%29%2F%282x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply both sides by (2x-5) to get rid of the denominator, we have:<BR>\n" );
document.write( "3x + 4 = 1(2x - 5)<BR>\n" );
document.write( "which is:<BR>\n" );
document.write( "3x + 4 = 2x - 5<BR>\n" );
document.write( "Subtract 4 from both sides<BR>\n" );
document.write( "3x = 2x - 5 - 4<BR>\n" );
document.write( "Subtract 2x from both sides<BR>\n" );
document.write( "3x - 2x = -9<BR>\n" );
document.write( "x = -9<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that true, using the original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28-9%29+%2B+4%29%2F%282%28-9%29+-+5%29 ALIGN=MIDDLE  ALT=\"%283%28-9%29+%2B+4%29%2F%282%28-9%29+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-27%2B4%29%2F%28-18-5%29 ALIGN=MIDDLE  ALT=\"%28-27%2B4%29%2F%28-18-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-23%29%2F%28-23%29 ALIGN=MIDDLE  ALT=\"%28-23%29%2F%28-23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "1 = 1!!<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( "7)Mark bought 3 CDs and spent $24. Write and solve an equation for the<BR>\n" );
document.write( "average cost of each CD.<BR>\n" );
document.write( "Let c = cost of each CD<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F3 ALIGN=MIDDLE  ALT=\"24%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = $8 for each cd<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check: 3 * 8 = 24<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If you study each one of these steps and understand, you will not have any<BR>\n" );
document.write( "more trouble with these kind of problems. Important that you do this!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );