document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240710>Question 240710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for problems 7-9 solve the system of equations using addition to eliminate one variable. if the system has no solution, indicate that it is inconsistent. if it has infinite solutions, indicate that it is inconsistent. if it has infinite that it is dependent. if the system has a solution check your answer.\r<BR>\n" );
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document.write( "4x-3y=17<BR>\n" );
document.write( "5x+y=7\r<BR>\n" );
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document.write( "check (if possible) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176355 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=176355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X+-+3Y+=+17 ALIGN=MIDDLE  ALT=\"4X+-+3Y+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X+%2B+Y+=+7 ALIGN=MIDDLE  ALT=\"5X+%2B+Y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
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document.write( "Start by rewritting equation 2.  Since Y is by itself, solve for Y<BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5X+%2B+Y+=+7 ALIGN=MIDDLE  ALT=\"5X+%2B+Y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5X from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+7+-+5X ALIGN=MIDDLE  ALT=\"Y+=+7+-+5X\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you can plug (7-5X) into equation 1 for Y<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X+-+3Y+=+17 ALIGN=MIDDLE  ALT=\"4X+-+3Y+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X+-+3%2A%287-5X%29+=+17 ALIGN=MIDDLE  ALT=\"4X+-+3%2A%287-5X%29+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X+-+21+%2B+15X+=+17 ALIGN=MIDDLE  ALT=\"4X+-+21+%2B+15X+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19X+-+21+=+17 ALIGN=MIDDLE  ALT=\"19X+-+21+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 21 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19X+=+38 ALIGN=MIDDLE  ALT=\"19X+=+38\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 19<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28X+=+2%29 ALIGN=MIDDLE  ALT=\"highlight%28X+=+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To find Y, plug 2 in for X into the rewritten equation 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+7+-+5X ALIGN=MIDDLE  ALT=\"Y+=+7+-+5X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+7+-+5%2A%282%29 ALIGN=MIDDLE  ALT=\"Y+=+7+-+5%2A%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+7+-+10 ALIGN=MIDDLE  ALT=\"Y+=+7+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Y+=+-3%29 ALIGN=MIDDLE  ALT=\"highlight%28Y+=+-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Chesk Solution:<BR>\n" );
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document.write( "Using X = 2 and Y = -3, solve equation 1<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X+-+3Y+=+17 ALIGN=MIDDLE  ALT=\"4X+-+3Y+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%282%29+-+3%2A%28-3%29+=+17 ALIGN=MIDDLE  ALT=\"4%2A%282%29+-+3%2A%28-3%29+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+%2B+9+=+17 ALIGN=MIDDLE  ALT=\"8+%2B+9+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17+=+17 ALIGN=MIDDLE  ALT=\"17+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );