document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174661>Question 174661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have two questions that I missed on a test.  Will someone please help me.<BR>\n" );
document.write( "1.  The sum of a number and 17 more than twice the same number is 101.  Find the number.  I came up with 67.  <BR>\n" );
document.write( "2.  Write an equation in slope-intercept form for the line that passes through (3,5) and (-2,1).<BR>\n" );
document.write( "I must show my work to get credit for these two problems.<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 #129689 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have two questions that I missed on a test. Will someone please help me.<BR>\n" );
document.write( "1. The sum of a number and 17 more than twice the same number is 101. Find the number. I came up with 67. <BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "n = number<BR>\n" );
document.write( "n + (2n+17) = 101<BR>\n" );
document.write( "3n + 17 = 101<BR>\n" );
document.write( "3n = 84<BR>\n" );
document.write( "n = 28<BR>\n" );
document.write( "How did you get 67?<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "2. Write an equation in slope-intercept form for the line that passes through (3,5) and (-2,1).<BR>\n" );
document.write( "First, the long way.<BR>\n" );
document.write( "Find the slope, m, = (diff in y)/(diff in x)<BR>\n" );
document.write( "m = (5-1)/(3-(-2))<BR>\n" );
document.write( "m = 4/5<BR>\n" );
document.write( "Then use either point<BR>\n" );
document.write( "y-y1 = m*(x-x1)<BR>\n" );
document.write( "y-5 = (4/5)*(x-3)<BR>\n" );
document.write( "y-5 = (4/5)x - 12/5<BR>\n" );
document.write( "y = (4/5)x + 13/5  (in slope-intercept form)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Easier method:<BR>\n" );
document.write( "|x y +1|<BR>\n" );
document.write( "|3 5 +1| = 0<BR>\n" );
document.write( "|-2 1 1|<BR>\n" );
document.write( "Note: the + signs aid in alignment<BR>\n" );
document.write( "x*(5-1) - y*(3 -(-2)) + (3-(-10)) = 0<BR>\n" );
document.write( "4x -5y +13 = 0<BR>\n" );
document.write( "5y = 4x + 13<BR>\n" );
document.write( "y = (4/5)x + 13/5  <BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "I must show my work to get credit for these two problems.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );