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" );
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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" );
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document.write( "Need help solving the linear system of equations:\r<BR>\n" );
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document.write( "2.\r<BR>\n" );
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document.write( "2x-6y=7, 5x+2y=10\r<BR>\n" );
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document.write( "A. Unique solution <BR>\n" );
document.write( "(8,3)\r<BR>\n" );
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document.write( "B. Unique solution<BR>\n" );
document.write( "(37/17, -15/34), \r<BR>\n" );
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document.write( "C. Infinite many solutions<BR>\n" );
document.write( "t,6t+1)\r<BR>\n" );
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document.write( "D. No solution\r<BR>\n" );
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document.write( "3.\r<BR>\n" );
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document.write( "x-16y=9, 1/4x +4y= 8\r<BR>\n" );
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document.write( "A. Unique solution <BR>\n" );
document.write( "(9,4)\r<BR>\n" );
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document.write( "B. Unique solution<BR>\n" );
document.write( "(2, -4) \r<BR>\n" );
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document.write( "C. Infinite many solutions<BR>\n" );
document.write( "t,8t+9)\r<BR>\n" );
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document.write( "D. No solution\r<BR>\n" );
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document.write( "4.<BR>\n" );
document.write( "3x - 2y=7, 9x 6y = 14\r<BR>\n" );
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document.write( "A. Unique solution <BR>\n" );
document.write( "(6,-4)\r<BR>\n" );
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document.write( "B. Unique solution<BR>\n" );
document.write( "(8, 5), \r<BR>\n" );
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document.write( "C. Infinite many solutions<BR>\n" );
document.write( "t,8t+5)\r<BR>\n" );
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document.write( "D. No solution\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 #539593 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=539593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are not justified in setting a variable equal to zero.  You might do that if you are looking for axis intercepts for one linear equation.  You are not interested in such a solution for solving simultaneous linear equations.\r<BR>\n" );
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document.write( "Number 2 as an example:<BR>\n" );
document.write( "2x-6y=7, 5x+2y=10.\r<BR>\n" );
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document.write( "These will intersect since slopes are 1/3 and -5/2.  Not equal slopes, and not negative reciprocals.\r<BR>\n" );
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document.write( "Substitution Method,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=7%2B6y ALIGN=MIDDLE  ALT=\"2x=7%2B6y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%287%2B6y%29%2F2 ALIGN=MIDDLE  ALT=\"x=%287%2B6y%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%287%2B6y%29%2F2%2B2y=10 ALIGN=MIDDLE  ALT=\"5%287%2B6y%29%2F2%2B2y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%287%2B6y%29%2B4y=20 ALIGN=MIDDLE  ALT=\"5%287%2B6y%29%2B4y=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%2B30y%2B4y=20 ALIGN=MIDDLE  ALT=\"35%2B30y%2B4y=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34y=20-35 ALIGN=MIDDLE  ALT=\"34y=20-35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34y=-15 ALIGN=MIDDLE  ALT=\"34y=-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-15%2F34%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-15%2F34%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%287%2B6%28-15%2F34%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%287%2B6%28-15%2F34%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F2-3%2815%2F34%29 ALIGN=MIDDLE  ALT=\"x=7%2F2-3%2815%2F34%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F2-45%2F34 ALIGN=MIDDLE  ALT=\"7%2F2-45%2F34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A17-45%29%2F34 ALIGN=MIDDLE  ALT=\"%287%2A17-45%29%2F34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=74%2F34 ALIGN=MIDDLE  ALT=\"x=74%2F34\"   DISABLED_style= \"max-width:90%; height:auto;\" >------------(Alerted to mistake:  now fixed; a digit \"7\" was missing)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=37%2F17%29 ALIGN=MIDDLE  ALT=\"highlight%28x=37%2F17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=37%2F17 ALIGN=MIDDLE  ALT=\"x=37%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-15%2F34 ALIGN=MIDDLE  ALT=\"y=-15%2F34\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "--<BR>\n" );
document.write( "Possibly I made a mistake in one part of the solution.  Look through my steps and maybe you will find the (possible ) mistake. </SPAN>\n" );
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