document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143562>Question 143562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Just need help with d), unless of course the others are wrong. Which very well could be. Any help would be of help. Thank you.\r<BR>\n" );
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document.write( "What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?<BR>\n" );
document.write( "1.	Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city.<BR>\n" );
document.write( "a)	The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation.  x + y = 56\r<BR>\n" );
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document.write( "b)	The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a. x = 1x   y = 3x\r<BR>\n" );
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document.write( "c)	Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem. x = 14  y = 42\r<BR>\n" );
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document.write( "d)	What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104480 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You sort of have the right idea, but your equation in part b should have been <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x ALIGN=MIDDLE  ALT=\"y=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You got the correct solution to part c, but you didn't explain the steps to solving by substitution -- namely take the expression in x that is equal to y from the part b equation and substitute into the first equation, then solve for x.  After solving for x, use either equation to solve for y.\r<BR>\n" );
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document.write( "To determine the intercepts, and I'm supposing that you are talking about the y-intercepts, solve each equation for y.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=56 ALIGN=MIDDLE  ALT=\"x%2By=56\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2B56 ALIGN=MIDDLE  ALT=\"y=-x%2B56\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now the equation is in slope-intercept (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >) form where m is the slope (-1 in this case), and b is the y-coordinate of the y-intercept (56 in this case - meaning that the line intersects the y-axis at (0,56)).  Your second equation is already in slope-intercept form,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x ALIGN=MIDDLE  ALT=\"y=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x%2B0 ALIGN=MIDDLE  ALT=\"y=3x%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the slope is 3 and the intercept is 0 (the intercept is at the origin).  The point of intersection you will get by graphing the system is defined by the ordered pair created from the x and y values you calculated in part c of the problem, namely (14,42)\r<BR>\n" );
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document.write( "If my supposition was incorrect and you actually need both the x- and y-intercepts, then solve each equation for x.  The constant term that results will be the x-intercept. </SPAN>\n" );
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