document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120130>Question 120130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x-4y=-1<BR>\n" );
document.write( "11y+2=13x\r<BR>\n" );
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document.write( "I have to solve this problem using substitution and I don't understand could someone please help me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88081 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=88081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x - 4y = -1<BR>\n" );
document.write( "11y + 2 = 13x<BR>\n" );
document.write( "I have to solve this problem using substitution<BR>\n" );
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document.write( "Let's use the 1st equation for substitution in the 2nd equation:<BR>\n" );
document.write( "3x - 4y = -1<BR>\n" );
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document.write( "3x = 4y + 1; Added 4y to both sides<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >y + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >; Divided both sides by 3<BR>\n" );
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document.write( "Substitute the above for x in the 2nd equation:<BR>\n" );
document.write( "11y + 2 = 13x<BR>\n" );
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document.write( "11y + 2 = 13(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >y + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
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document.write( "11y + 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52%2F3 ALIGN=MIDDLE  ALT=\"52%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F3 ALIGN=MIDDLE  ALT=\"13%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >; multiplied inside the brackets by 13<BR>\n" );
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document.write( "Multiply equation by 3 to get rid of the those annoying denominators<BR>\n" );
document.write( "3(11y) + 3(2) = 3*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52%2F3 ALIGN=MIDDLE  ALT=\"52%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >y + 3*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F3 ALIGN=MIDDLE  ALT=\"13%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "33y + 6 = 52y + 13<BR>\n" );
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document.write( "33y - 52y = 13 - 6<BR>\n" );
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document.write( "-19y = +7 <BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28-19%29 ALIGN=MIDDLE  ALT=\"7%2F%28-19%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F19 ALIGN=MIDDLE  ALT=\"-7%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >y + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
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document.write( "Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F19 ALIGN=MIDDLE  ALT=\"-7%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > for y<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2A%28-7%2F19%29 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2A%28-7%2F19%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-28%2F57 ALIGN=MIDDLE  ALT=\"-28%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F57 ALIGN=MIDDLE  ALT=\"19%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9%2F57 ALIGN=MIDDLE  ALT=\"-9%2F57\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Reduces to:<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F19 ALIGN=MIDDLE  ALT=\"-3%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Check solutions in 2nd equation:<BR>\n" );
document.write( "11y + 2 = 13x<BR>\n" );
document.write( "11(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F19 ALIGN=MIDDLE  ALT=\"-7%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + 2 = 13(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F19 ALIGN=MIDDLE  ALT=\"-3%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-77%2F19 ALIGN=MIDDLE  ALT=\"-77%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-39%2F19 ALIGN=MIDDLE  ALT=\"-39%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-77%2F19 ALIGN=MIDDLE  ALT=\"-77%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38%2F19 ALIGN=MIDDLE  ALT=\"38%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-39%2F19 ALIGN=MIDDLE  ALT=\"-39%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > confirms our solutions<BR>\n" );
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document.write( "This was nasty problem with a lot of steps and fractions;<BR>\n" );
document.write( " but each step by itself, is a simple operation; try following it step-by-step.<BR>\n" );
document.write( "Let me know how you do. </SPAN>\n" );
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