document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107478>Question 107478</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131492624/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve by any appropriate method.(Substitution or Elimination, I prefer Elimination).  L1-(-4,4)and(2,-2)  L2-(1,1) and (-3,3). I don't even know where to begin and our teacher and not provided any examples for this type of problem. He doesn't use the book much and I have tried to find examples and am unsuccessful. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78266 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=78266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by any appropriate method.(Substitution or Elimination, I prefer Elimination). <BR>\n" );
document.write( "L1-(-4,4)and(2,-2) <BR>\n" );
document.write( "Y=mx+b<BR>\n" );
document.write( "Need to find m and b.<BR>\n" );
document.write( "slope = [4--2]/[-4-2] = 6/-6= -1<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "substitute x=2, y=-2, m=-1 to solve for \"b\":<BR>\n" );
document.write( "-2 = -1*-2 + b<BR>\n" );
document.write( "-2 = 2 + b<BR>\n" );
document.write( "b = -4<BR>\n" );
document.write( "EQUATION L1: y = -x-4<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "L2-(1,1) and (-3,3).<BR>\n" );
document.write( "m = [3-1]/[-3-1]= 2/-4 = -1/2<BR>\n" );
document.write( "Substitute x=1, y=1, m=-1/2 to solve for \"b\":<BR>\n" );
document.write( "1 = (-1/2)*1 + b<BR>\n" );
document.write( "b = (3/2)<BR>\n" );
document.write( "EQUATION: L2: y = (-1/2)x + (3/2) <BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Solve the system:<BR>\n" );
document.write( "Substitute y = -x-4 into L2 to get:<BR>\n" );
document.write( "-x-4 = (-1/2)x + (3/2)<BR>\n" );
document.write( "Add x to both sides to get:<BR>\n" );
document.write( "-4 = (1/2)x + (3/2)<BR>\n" );
document.write( "Subtract (3/2) from both sids to get:<BR>\n" );
document.write( "-11/2 (1/2)x<BR>\n" );
document.write( "x = -11<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Substitute into y = -x-4 to solve for \"y\":<BR>\n" );
document.write( "y = -(-11)-4 = 7<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Solution for the system: x=-11, y=7<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );