document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107316>Question 107316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system of linear equations\r<BR>\n" );
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document.write( "7/11x -1/6y=29/33\r<BR>\n" );
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document.write( "2/5x-1/3y=4/15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78117 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=78117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2F11-y%2F6=29%2F33 ALIGN=MIDDLE  ALT=\"7x%2F11-y%2F6=29%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F5-y%2F3=4%2F15 ALIGN=MIDDLE  ALT=\"2x%2F5-y%2F3=4%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Whenever I have a fraction problem, I get rid of the denominators by multiplying by the product of the denominator or LCD, whichever's easier.<BR>\n" );
document.write( "Multiply the first equation by 66, second equation by 15.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=66%287x%2F11-y%2F6%29=66%2829%2F33%29 ALIGN=MIDDLE  ALT=\"66%287x%2F11-y%2F6%29=66%2829%2F33%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42x-11y=58%29 ALIGN=MIDDLE  ALT=\"42x-11y=58%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%282x%2F5-y%2F3%29=15%284%2F15%29 ALIGN=MIDDLE  ALT=\"15%282x%2F5-y%2F3%29=15%284%2F15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-5y=4 ALIGN=MIDDLE  ALT=\"6x-5y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use 2 to get y in terms of x.<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-5y=4 ALIGN=MIDDLE  ALT=\"6x-5y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-5y=4 ALIGN=MIDDLE  ALT=\"6x-5y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-4=5y ALIGN=MIDDLE  ALT=\"6x-4=5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2F5-4%2F5=y ALIGN=MIDDLE  ALT=\"6x%2F5-4%2F5=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6x%2F5-4%2F5 ALIGN=MIDDLE  ALT=\"y=6x%2F5-4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute that value for y in equation 1,<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42x-11y=58%29 ALIGN=MIDDLE  ALT=\"42x-11y=58%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42x-11%286x%2F5-4%2F5%29=58%29 ALIGN=MIDDLE  ALT=\"42x-11%286x%2F5-4%2F5%29=58%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42x-66x%2F5%2B44%2F5=58%29 ALIGN=MIDDLE  ALT=\"42x-66x%2F5%2B44%2F5=58%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210x%2F5-66x%2F5%2B44%2F5=290%2F5%29 ALIGN=MIDDLE  ALT=\"210x%2F5-66x%2F5%2B44%2F5=290%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Change to same denominator. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144x%2F5=246%2F5%29 ALIGN=MIDDLE  ALT=\"144x%2F5=246%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=246%2F144 ALIGN=MIDDLE  ALT=\"x=246%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=41%2F24 ALIGN=MIDDLE  ALT=\"x=41%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >Simplify to lowest terms. <BR>\n" );
document.write( "Now you can find y, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6x%2F5-4%2F5 ALIGN=MIDDLE  ALT=\"y=6x%2F5-4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%286%2F5%29%2A%2841%2F24%29-4%2F5 ALIGN=MIDDLE  ALT=\"y=%286%2F5%29%2A%2841%2F24%29-4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2841%2F20%29-16%2F20 ALIGN=MIDDLE  ALT=\"y=%2841%2F20%29-16%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5%2F4 ALIGN=MIDDLE  ALT=\"y=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check your answers.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2F11-y%2F6=29%2F33 ALIGN=MIDDLE  ALT=\"7x%2F11-y%2F6=29%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use your first equation. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F11%29%2841%2F24%29-%281%2F6%29%285%2F4%29=29%2F33 ALIGN=MIDDLE  ALT=\"%287%2F11%29%2841%2F24%29-%281%2F6%29%285%2F4%29=29%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=287%2F264-5%2F24=29%2F33 ALIGN=MIDDLE  ALT=\"287%2F264-5%2F24=29%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%2F24%29%2A%28287%2F264%29-%28264%2F264%29%2A%285%2F24%29=29%2F33 ALIGN=MIDDLE  ALT=\"%2824%2F24%29%2A%28287%2F264%29-%28264%2F264%29%2A%285%2F24%29=29%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" >Change to same denominator. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6888%2F6336-1320%2F6336=29%2F33 ALIGN=MIDDLE  ALT=\"6888%2F6336-1320%2F6336=29%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5568%2F6336=29%2F33 ALIGN=MIDDLE  ALT=\"5568%2F6336=29%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28192%29%2A29%29%2F%28cross%28192%29%2A33%29=29%2F33 ALIGN=MIDDLE  ALT=\"%28cross%28192%29%2A29%29%2F%28cross%28192%29%2A33%29=29%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29%2F33=29%2F33 ALIGN=MIDDLE  ALT=\"29%2F33=29%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "True statement, good answer.<BR>\n" );
document.write( "x=41/24(1.71), y=5/4(1.25)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-1%2C+4%2C+-1%2C+4%2C+6x%2F5-4%2F5%2C+42%2Ax%2F11-6%2A29%2F33%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-1%2C+4%2C+-1%2C+4%2C+6x%2F5-4%2F5%2C+42%2Ax%2F11-6%2A29%2F33%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );