document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104909>Question 104909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am just beginning with graphing and I am trying to graph y=4x-1 and y=3x+15 to find x. I've solved the equation algebraically but am having a hard time and getting a different outcome each time I graph...and none of them cross at x=16!<BR>\n" );
document.write( "    I would appreciate any help.<BR>\n" );
document.write( "                               Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76386 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) y=4x-1 <BR>\n" );
document.write( "B) y=3x+15 <BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since these graphs are linear we only need 2 points (x,y) for each line. I like to use the x and y intercepts, if fractions don't get involved, because there are less numbers to deal with, so I make less mistakes.<BR>\n" );
document.write( "Keep the x and y as small as possible so the points fit on the graph.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=4x-1<BR>\n" );
document.write( "x=0, y= -1 (0,-1)<BR>\n" );
document.write( "x=1, y= 4-1=3 (1,3)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=3x+15<BR>\n" );
document.write( "x= -5 y= -15+15=0 (-5,0)<BR>\n" );
document.write( "x= -3 y= -9+15=6 (-3,6)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "put the points on your graph paper and draw the lines and it should look like this.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-2%2C18%2C-10%2C75%2C4x-1%2C3x%2B15%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-2%2C18%2C-10%2C75%2C4x-1%2C3x%2B15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The lines do cross do cross when x=16  when y=63 !!! That is the correct answer.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "63=4*16-1 true<BR>\n" );
document.write( "63=3*16+15 true<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );