document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58708>Question 58708</A>: <I><SPAN STYLE=\"word-break: break-all;\">   4y + square root 3 x = 8\r<BR>\n" );
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document.write( "  3y + 4x = -6    \r<BR>\n" );
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document.write( " Is there a solution - how do I graph this system? Please help.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40259 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=40259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1st: 4y + square root 3 x = 8 <BR>\n" );
document.write( "2nd: 3y + 4x = -6 <BR>\n" );
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document.write( "Multiply 1st by 3 and 2nd by 4 to get:<BR>\n" );
document.write( "3rd: 12y+3sqrt3 x = 24<BR>\n" );
document.write( "4th: 12y+16x = -24<BR>\n" );
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document.write( "Subtract 4th from 3rd to get:<BR>\n" );
document.write( "5th: (3sqrt3 -16)x=48<BR>\n" );
document.write( "x=48/(3sqrt3 - 16)<BR>\n" );
document.write( "x=-4.44286...<BR>\n" );
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document.write( "Substitute in 2nd to solve for y, as follows:<BR>\n" );
document.write( "3y +4(-4.442861643)=-6<BR>\n" );
document.write( "3y - 17.7714467...=-6<BR>\n" );
document.write( "3y=11.77144657...<BR>\n" );
document.write( "y=3.923815524...<BR>\n" );
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document.write( "These value check in 3rd<BR>\n" );
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document.write( "You should be able to graph the original equations as:<BR>\n" );
document.write( "y=(1/4)(8-(sqrt3)x)<BR>\n" );
document.write( "y=(1/3)(-6-4x)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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