document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=415705>Question 415705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i solve   y=-x \r<BR>\n" );
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document.write( "also how do i solve   x=3y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291380 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=291380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is y = -x\r<BR>\n" );
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document.write( "your dependent variable is y and your independent value is -x.\r<BR>\n" );
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document.write( "you pick values of x and then you find values of y that correspond to that.\r<BR>\n" );
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document.write( "when x = 1, y = -1<BR>\n" );
document.write( "when x = 2, y = -2<BR>\n" );
document.write( "when x = 3, y = -3<BR>\n" );
document.write( "when x = 0, y = 0<BR>\n" );
document.write( "when x = -1, y = 1<BR>\n" );
document.write( "when x = -2, y = 2<BR>\n" );
document.write( "etc.\r<BR>\n" );
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document.write( "your equation is now x = 3y\r<BR>\n" );
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document.write( "your dependent variable is now x and your independent variable is now y\r<BR>\n" );
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document.write( "you would select values of y and then you would solve for values of x.\r<BR>\n" );
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document.write( "when y = 1, x = 3*1 = 3<BR>\n" );
document.write( "when y = 2, x = 3*2 = 6<BR>\n" );
document.write( "when y = -5, x = 3*(-5) = -15<BR>\n" );
document.write( "etc.\r<BR>\n" );
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document.write( "with the equation x = 3y, if you want to make x the independent variable and you want to make y the dependent variable, you would need to switch the equation around.\r<BR>\n" );
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document.write( "you would do that as follows:\r<BR>\n" );
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document.write( "x = 3*y\r<BR>\n" );
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document.write( "divide both sides of the equation by 3 to get:\r<BR>\n" );
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document.write( "x/3 = y\r<BR>\n" );
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document.write( "flip the sides of the equation to get:\r<BR>\n" );
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document.write( "y = x/3\r<BR>\n" );
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document.write( "you have now made x the independent variable and y the dependent variable.\r<BR>\n" );
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document.write( "when x = 3, y = 3/3 = 1<BR>\n" );
document.write( "when x = 6, y = 6/3 = 2<BR>\n" );
document.write( "when x = -15, y = -15/3 = -5\r<BR>\n" );
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document.write( " </SPAN>\n" );
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