document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490180>Question 490180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My daughter is frustrated in Algebra II (well all math in general that is). She was given homework in which I cannot assist her with; It's been about 25-years for me. I was good at it, but need a refresher in order to assist her. Here is a simple graphing problem:<BR>\n" );
document.write( "y = x - 2<BR>\n" );
document.write( "y = -2x + 7<BR>\n" );
document.write( "Her book seems to miss some of the steps and I don't remember what to do. According to the answers at the back of the book her graph was in error on one of the positive lines (on the x axis she began at -7). What is the correct way to solve this simple problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333891 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=333891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a \"system of equations\" or \"simultaneous equations (at least, where I went to school)\"<BR>\n" );
document.write( "y = x-2 and <BR>\n" );
document.write( "y = -2x+7<BR>\n" );
document.write( "Now since y = y, you can just set the two equations equal to each other thus:<BR>\n" );
document.write( "x-2 = -2x+7 and solve for x. Add 2x to both sides.<BR>\n" );
document.write( "3x-2 = 7 Now add 2 to both sides.<BR>\n" );
document.write( "3x = 9 Finally, divide both sides by 3.<BR>\n" );
document.write( "x = 3 Now you must replace the x in either of the two given equations and solve for y.<BR>\n" );
document.write( "y = -2x+7 Substitute x = 3.<BR>\n" );
document.write( "y = -2(3)+7 Evaluate.<BR>\n" );
document.write( "y = -6+7<BR>\n" );
document.write( "y = 1<BR>\n" );
document.write( "The solution is (3, 1)<BR>\n" );
document.write( "Another way is to graph the two given equations and find the point of intersection (if any) of the two lines.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+highlight%28x-2%29 ALIGN=MIDDLE  ALT=\"y+=+highlight%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+highlight_green%28-2x%2B7%29 ALIGN=MIDDLE  ALT=\"y+=+highlight_green%28-2x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C5%2C-5%2C5%2Cx-2%2C-2x%2B7%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2Cx-2%2C-2x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The lines intersect at (3, 1) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );