document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=600898>Question 600898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> May I ask a Question? <BR>\n" );
document.write( "What is the equation for finding the point of intersection, given the equations of two lines that intersect?<BR>\n" );
document.write( " Like: Find the point in which the lines y= x+4 and 3x+2y=13.<BR>\n" );
document.write( "Thank you ma'am/sir. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379538 by </B><A HREF=/tutors/aboutme.mpl?userid=Nihal@SriLanka><B>Nihal@SriLanka(22)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nihal@SriLanka><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=379538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For lines to intersect they must have a common point (the point of intersection) and at this point the x and y values representing the coordinates of the point must satisfy both equations representing the lines.\r<BR>\n" );
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document.write( "In the present case, if there is a point of intersection its coordinates (x,y) must satisfy both equations y=x+4 and 3x+2y=13.\r<BR>\n" );
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document.write( "Now we proceed to solve these equations for x and y.\r<BR>\n" );
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document.write( "Multiplying both sides of the first equation by 2 we have 2y=2x+8\r<BR>\n" );
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document.write( "Substituting 2x+8 for 2y in the second equation we have 3x+(2x+8)=13<BR>\n" );
document.write( "i.e. 3x+2x=13-8<BR>\n" );
document.write( "i.e. 5x   =5<BR>\n" );
document.write( "i.e. x    = 1\r<BR>\n" );
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document.write( "Now substituting x= 1 in the first equation we have y=1+4=5\r<BR>\n" );
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document.write( "We conclude that (1,5) is the point of intersection of the given lines.\r<BR>\n" );
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document.write( "If you need further clarification on this solution you may email sumanapala@gmail.com  </SPAN>\n" );
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