document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247277>Question 247277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am having such trouble with these equations. My book goes over one example in which does not help me for this and others. Is there a simpler way of solving these equations? If not, a nice step-by-step would be great! I have a final next week and cannot get this to sink in. Here's an example equation.<BR>\n" );
document.write( "15x-10y=-1<BR>\n" );
document.write( "15y=-2+5x<BR>\n" );
document.write( "I'm supposed to solve using substitution. When I add part of the equation to another, I get lost? I'm supposed to end up with an ordered pair.<BR>\n" );
document.write( "Thank you so much!<BR>\n" );
document.write( "Lise </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180417 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180417\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 15x-10y=-1<BR>\n" );
document.write( "15y=-2+5x<BR>\n" );
document.write( "You should end up with one x and one y (x,y)<BR>\n" );
document.write( "which will be the point the two lines cross(intersect).<BR>\n" );
document.write( "solving by substitution means we solve one of the equations for x or y and then substitute that in the other equation.\r<BR>\n" );
document.write( "\n" );
document.write( "15y=-2+5x<BR>\n" );
document.write( "add 2 to both sides<BR>\n" );
document.write( "15y+2=5x<BR>\n" );
document.write( "divide by 5<BR>\n" );
document.write( "(15y+2)/5=x<BR>\n" );
document.write( "3y+2/5=x<BR>\n" );
document.write( "put that in first equation<BR>\n" );
document.write( "15(3y+2/5)-10y=-1<BR>\n" );
document.write( "45y+30/5-10y=-1<BR>\n" );
document.write( "45y-10y+6=-1<BR>\n" );
document.write( "combine and subtract 6 from both sides<BR>\n" );
document.write( "35y=-7<BR>\n" );
document.write( "y=-7/35=-1/5=.2<BR>\n" );
document.write( "15y=-2+5x<BR>\n" );
document.write( "15(-1/5)=-2+5x<BR>\n" );
document.write( "-3=-2+5x<BR>\n" );
document.write( "add 2 to both sides<BR>\n" );
document.write( "-1=5x<BR>\n" );
document.write( "divide both sides by 5<BR>\n" );
document.write( "-1/5=x=.2<BR>\n" );
document.write( "so the point (ordered pair) is (-.2,-.2) or (-1/5,-1/5)\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );