document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74960>Question 74960</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each of the following systems by using either addition or substitution. If a unique solution<BR>\n" );
document.write( "does not exist, state whether the system is dependent or inconsistent.<BR>\n" );
document.write( "10x + 2y = 7<BR>\n" );
document.write( "y = -5x + 3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53850 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=53850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm going to use substitution since we already have y isolated<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x+%2B+2y+=+7 ALIGN=MIDDLE  ALT=\"10x+%2B+2y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-5x+%2B+3 ALIGN=MIDDLE  ALT=\"y+=+-5x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >Plug this into y for the 1st equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x+%2B+2%28-5x%2B3%29+=+7 ALIGN=MIDDLE  ALT=\"10x+%2B+2%28-5x%2B3%29+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x+-10x%2B6+=+7 ALIGN=MIDDLE  ALT=\"10x+-10x%2B6+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >Distribute the 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+7 ALIGN=MIDDLE  ALT=\"6+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add like terms. Since this equation is false, there are no solutions. If you solved the 1st equation for y, you would get:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5x%2B7%2F2 ALIGN=MIDDLE  ALT=\"y=-5x%2B7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since this equation has the same slope as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-5x+%2B+3 ALIGN=MIDDLE  ALT=\"y+=+-5x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "these two lines are parallel and will never cross. So this system is inconsistent\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-5x+%2B+3%2C+-5x%2B7%2F2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-5x+%2B+3%2C+-5x%2B7%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-5x+%2B+3 ALIGN=MIDDLE  ALT=\"y+=+-5x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5x%2B7%2F2 ALIGN=MIDDLE  ALT=\"y=-5x%2B7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );