document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=514715>Question 514715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine how many solutions exist.<BR>\n" );
document.write( "Use either elimination or substitution to find the solutions (if any).<BR>\n" );
document.write( "Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection.\r<BR>\n" );
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document.write( "y = 2x + 3  and  y = -x - 4\r<BR>\n" );
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document.write( "I have found that there is one solution. Here's what I have so far:<BR>\n" );
document.write( "First I subtracted the first equation from the second equation.<BR>\n" );
document.write( " y = -x - 4<BR>\n" );
document.write( "-y =-2x - 3 --> 0 =-3x - 7 I add 7 to both sides to get: 7 = -3x<BR>\n" );
document.write( "Then I divide both sides by -3 to get x = -7/3 or x = -2.333\r<BR>\n" );
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document.write( "Then I substituted -2.333 in for x in the first equation to find y which came out to -1.666 (when x is -2.333). I came up with intercept points reduced to the hundreths as (-2.33,-1.67) to get the intercept point. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343563 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=343563\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are almost there.\r<BR>\n" );
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document.write( "-2	x	+	1	y	=	3	.............1	<BR>\n" );
document.write( "1	x	+	1	y	=	-4	.............2	<BR>\n" );
document.write( "Eliminate y								<BR>\n" );
document.write( "multiply (1)by 		-1						<BR>\n" );
document.write( "Multiply (2) by		1						<BR>\n" );
document.write( "2	x		-1	y	=	-3		<BR>\n" );
document.write( "1	x		1	y	=	-4		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "3	x				=	-7		<BR>\n" );
document.write( "/	3							<BR>\n" );
document.write( "x	=	-2.33		OR	-2  1/ 3			<BR>\n" );
document.write( "plug value of 			x	in (1)				<BR>\n" );
document.write( "-2	x	+	1	y	=	3		<BR>\n" );
document.write( "4.67		+	1	y	=	3		<BR>\n" );
document.write( "			1	y	=	3		-4.67<BR>\n" );
document.write( "			1	y	=	-1.67		<BR>\n" );
document.write( "				y	=	-1.67		\r<BR>\n" );
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document.write( "equation1					<BR>\n" );
document.write( "when x=	0	y=	3	(	0	,	3	)	3    <BR>\n" );
document.write( "when y =	0	x=	-1.5	(	-1.5	,	0	)	<BR>\n" );
document.write( "Equation 2									<BR>\n" );
document.write( "when x=	0	y=	-4	(	0	,	-4	)	-4    <BR>\n" );
document.write( "when y =	0	x=	-4	(	-4	,	0	)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Ccircle%280%2C3%2C0.3%29%2Ccircle%28-1.5%2C0%2C0.3%29%2Ccircle%280%2C-4%2C0.3%29%2Ccircle%28-4%2C0%2C0.3%29%2Ccircle%28-2.33%2C-1.67%2C0.3%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cy=-x-4%2Cy=2x%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "	\r<BR>\n" );
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document.write( " </SPAN>\n" );
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