document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036283>Question 1036283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the xy-coordinate system ,if (a,b) and (a+3,b+k) are the two points lie on the equation x=3y-7 then k=? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650938 by </B><A HREF=/tutors/aboutme.mpl?userid=Aldorozos><B>Aldorozos(172)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Aldorozos><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=650938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the points lie on the question then we can substitute x and y with the coordinates of the points<BR>\n" );
document.write( "a=3b-7<BR>\n" );
document.write( "a+3 = 3(b+k)-7\r<BR>\n" );
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document.write( "here we have two equations and three unknowns. These unknowns are a, b and k. To find exactly what these numbers are we need a third points. Considering that we are given only two points, then we can not find any numbers for these three values. However, we can calculate the value of k based on the value of a or b. The easiest way is to calculate the value of k in terms of b. We know that a=3b-7. We replace a in the second equation with 3b-7 and find the value of k based on b<BR>\n" );
document.write( "3b-7 = 3(b+k)-7 Therefore 3b-7 = 3b-3k-7 If we solve this problem, k = 0 In this unique case the value of k is independent from b.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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