document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891212>Question 891212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trying to find a simple method of sovling the below linear equations for now and in the future.\r<BR>\n" );
document.write( "\n" );
document.write( "I thought I had it , when I set one variable to zero and solved for the remaining variable, then reversed the process. finally replacing the variable with the solutions.  left me with mixed solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "Need help solving the linear system of equations:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.\r<BR>\n" );
document.write( "\n" );
document.write( "2x-6y=7, 5x+2y=10\r<BR>\n" );
document.write( "\n" );
document.write( "A. Unique solution <BR>\n" );
document.write( "(8,3)\r<BR>\n" );
document.write( "\n" );
document.write( "B. Unique solution<BR>\n" );
document.write( "(37/17, -15/34), \r<BR>\n" );
document.write( "\n" );
document.write( "C. Infinite many solutions<BR>\n" );
document.write( "t,6t+1)\r<BR>\n" );
document.write( "\n" );
document.write( "D. No solution\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3.\r<BR>\n" );
document.write( "\n" );
document.write( "x-16y=9, 1/4x +4y= 8\r<BR>\n" );
document.write( "\n" );
document.write( "A. Unique solution <BR>\n" );
document.write( "(9,4)\r<BR>\n" );
document.write( "\n" );
document.write( "B. Unique solution<BR>\n" );
document.write( "(2, -4) \r<BR>\n" );
document.write( "\n" );
document.write( "C. Infinite many solutions<BR>\n" );
document.write( "t,8t+9)\r<BR>\n" );
document.write( "\n" );
document.write( "D. No solution\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4.<BR>\n" );
document.write( "3x - 2y=7, 9x 6y = 14\r<BR>\n" );
document.write( "\n" );
document.write( "A. Unique solution <BR>\n" );
document.write( "(6,-4)\r<BR>\n" );
document.write( "\n" );
document.write( "B. Unique solution<BR>\n" );
document.write( "(8, 5), \r<BR>\n" );
document.write( "\n" );
document.write( "C. Infinite many solutions<BR>\n" );
document.write( "t,8t+5)\r<BR>\n" );
document.write( "\n" );
document.write( "D. No solution\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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 #539606 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Trying to find a simple method of sovling the below linear equations for now and in the future.\r<BR>\n" );
document.write( "\n" );
document.write( "I thought I had it , when I set one variable to zero and solved for the remaining variable, then reversed the process. finally replacing the variable with the solutions.  left me with mixed solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "Need help solving the linear system of equations:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.\r<BR>\n" );
document.write( "\n" );
document.write( "2x-6y=7, 5x+2y=10\r<BR>\n" );
document.write( "\n" );
document.write( "A. Unique solution <BR>\n" );
document.write( "(8,3)\r<BR>\n" );
document.write( "\n" );
document.write( "B. Unique solution<BR>\n" );
document.write( "(37/17, -15/34), \r<BR>\n" );
document.write( "\n" );
document.write( "C. Infinite many solutions<BR>\n" );
document.write( "t,6t+1)\r<BR>\n" );
document.write( "\n" );
document.write( "D. No solution\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3.\r<BR>\n" );
document.write( "\n" );
document.write( "x-16y=9, 1/4x +4y= 8\r<BR>\n" );
document.write( "\n" );
document.write( "A. Unique solution <BR>\n" );
document.write( "(9,4)\r<BR>\n" );
document.write( "\n" );
document.write( "B. Unique solution<BR>\n" );
document.write( "(2, -4) \r<BR>\n" );
document.write( "\n" );
document.write( "C. Infinite many solutions<BR>\n" );
document.write( "t,8t+9)\r<BR>\n" );
document.write( "\n" );
document.write( "D. No solution\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4.<BR>\n" );
document.write( "3x - 2y=7, 9x 6y = 14\r<BR>\n" );
document.write( "\n" );
document.write( "A. Unique solution <BR>\n" );
document.write( "(6,-4)\r<BR>\n" );
document.write( "\n" );
document.write( "B. Unique solution<BR>\n" );
document.write( "(8, 5), \r<BR>\n" );
document.write( "\n" );
document.write( "C. Infinite many solutions<BR>\n" );
document.write( "t,8t+5)\r<BR>\n" );
document.write( "\n" );
document.write( "D. No solution\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thanks<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system+%282x+-+6y+=+7_____eq+%28i%29%2C+5x+%2B+2y+=+10____eq+%28ii%29%29 ALIGN=MIDDLE  ALT=\"system+%282x+-+6y+=+7_____eq+%28i%29%2C+5x+%2B+2y+=+10____eq+%28ii%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system+%2815x+%2B+6y+=+30___Multiplying_eq_%28ii%29_by_3_____eq_%28iii%29%2C+2x+-+6y+=+7______eq+%28i%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "17x = 37 ------ Adding eqs (iii) & (i)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x+=+37%2F17%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x+=+37%2F17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2837%2F17%29+-+6y+=+7 ALIGN=MIDDLE  ALT=\"2%2837%2F17%29+-+6y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F17 ALIGN=MIDDLE  ALT=\"37%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > for x in eq (i)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=74%2F17+-+6y+=+7 ALIGN=MIDDLE  ALT=\"74%2F17+-+6y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=74%2F17+-+6y+=+119%2F17 ALIGN=MIDDLE  ALT=\"74%2F17+-+6y+=+119%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+6y+=+119%2F17+-+74%2F17 ALIGN=MIDDLE  ALT=\"-+6y+=+119%2F17+-+74%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+6y+=+45%2F17 ALIGN=MIDDLE  ALT=\"-+6y+=+45%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2845%2F17%29%2F-+6 ALIGN=MIDDLE  ALT=\"y+=+%2845%2F17%29%2F-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2845%2F17%29+%2A+%281%2F-6%29 ALIGN=MIDDLE  ALT=\"y+=+%2845%2F17%29+%2A+%281%2F-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-+45%2F102 ALIGN=MIDDLE  ALT=\"y+=+-+45%2F102\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y+=+-+15%2F34%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y+=+-+15%2F34%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Reducing fraction to its lowest term </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );