document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244772>Question 244772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.\r<BR>\n" );
document.write( "\n" );
document.write( "5x - 2 = y<BR>\n" );
document.write( "y - 5x = 1\r<BR>\n" );
document.write( "\n" );
document.write( "Here is what I put as my answer not sure if I did it right\r<BR>\n" );
document.write( "\n" );
document.write( "5x-2=y<BR>\n" );
document.write( "  +2 +2<BR>\n" );
document.write( "________<BR>\n" );
document.write( "   5x=y+2<BR>\n" );
document.write( "  ________<BR>\n" );
document.write( "    5  5<BR>\n" );
document.write( "x=y+2/5\r<BR>\n" );
document.write( "\n" );
document.write( "y-5(y+2/5)=1<BR>\n" );
document.write( "y-5y+10/5=1<BR>\n" );
document.write( "y+5-5y+10/5=1<BR>\n" );
document.write( "5*4y+15/5=1<BR>\n" );
document.write( "4y+15=1<BR>\n" );
document.write( "  -15 -15<BR>\n" );
document.write( "  _______<BR>\n" );
document.write( "4y=-14<BR>\n" );
document.write( "_______<BR>\n" );
document.write( "4    4<BR>\n" );
document.write( "y=3.5 (3 1/2)\r<BR>\n" );
document.write( "\n" );
document.write( "x=(3 1/2+2)/5\r<BR>\n" );
document.write( "\n" );
document.write( "x=5 1/2/5<BR>\n" );
document.write( "x= 11/10\r<BR>\n" );
document.write( "\n" );
document.write( "I have another one if you don't mind also<BR>\n" );
document.write( "Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.\r<BR>\n" );
document.write( "\n" );
document.write( "-0.9x + 0.8y = 14.6<BR>\n" );
document.write( "-0.3x + 0.1y = 3.7<BR>\n" );
document.write( "Here is what I put as an answer \r<BR>\n" );
document.write( "\n" );
document.write( "-9x+8y=146<BR>\n" );
document.write( "-3x+1y=37<BR>\n" );
document.write( "__________<BR>\n" );
document.write( "-27x-24y=438<BR>\n" );
document.write( "+27x+9y=338<BR>\n" );
document.write( "____________<BR>\n" );
document.write( "15y=100<BR>\n" );
document.write( "________<BR>\n" );
document.write( "15   15<BR>\n" );
document.write( "y=6 1/3\r<BR>\n" );
document.write( "\n" );
document.write( "-9x+8*19/3=146<BR>\n" );
document.write( "8/1*19/3=152/3<BR>\n" );
document.write( "9x+152/3=146<BR>\n" );
document.write( "  -152/3 -152/3<BR>\n" );
document.write( "________________<BR>\n" );
document.write( "-9x=286/3<BR>\n" );
document.write( "__________<BR>\n" );
document.write( "-9   -9\r<BR>\n" );
document.write( "\n" );
document.write( "x=286/3/9\r<BR>\n" );
document.write( "\n" );
document.write( "x=286/27<BR>\n" );
document.write( "Please respond ASAP </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178954 by </B><A HREF=/tutors/aboutme.mpl?userid=MRperkins><B>MRperkins(300)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MRperkins><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=MRperkins><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=178954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.\r<BR>\n" );
document.write( "\n" );
document.write( "1.<BR>\n" );
document.write( "5x - 2 = y<BR>\n" );
document.write( "y - 5x = 1\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute 5x-2 in for y in the second equation<BR>\n" );
document.write( "so <BR>\n" );
document.write( "5x-2-5x=1<BR>\n" );
document.write( "5x-5x is 0 so you are left with -2=1, since this is not true, then there is no solution.\r<BR>\n" );
document.write( "\n" );
document.write( "2.<BR>\n" );
document.write( "x=y+2/5<BR>\n" );
document.write( "y-5(y+2/5)=1\r<BR>\n" );
document.write( "\n" );
document.write( "y-5y+10/5=1  This should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5y-10%2F2=1 ALIGN=MIDDLE  ALT=\"y-5y-10%2F2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > because -5 is distributed to both terms (not -5 to the first term and +5 to the second term)  also, 10/2 is just 5, so the next step I will write it that way.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4y-2=1 ALIGN=MIDDLE  ALT=\"-4y-2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Combine y values<BR>\n" );
document.write( "+2_______+2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4y=3 ALIGN=MIDDLE  ALT=\"-4y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=-3/4   (divide both sides by -4)<BR>\n" );
document.write( "so now insert this into x=y+2/5 to find x  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3%2F4%2B2%2F5 ALIGN=MIDDLE  ALT=\"x=-3%2F4%2B2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > get a common denominator and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-15%2F20%2B8%2F20=-7%2F20 ALIGN=MIDDLE  ALT=\"x=-15%2F20%2B8%2F20=-7%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "check your answer by inserting these values into your original equations.\r<BR>\n" );
document.write( "\n" );
document.write( "I have another one if you don't mind also<BR>\n" );
document.write( "Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.\r<BR>\n" );
document.write( "\n" );
document.write( "-0.9x + 0.8y = 14.6<BR>\n" );
document.write( "-0.3x + 0.1y = 3.7<BR>\n" );
document.write( "Here is what I put as an answer \r<BR>\n" );
document.write( "\n" );
document.write( "-9x+8y=146<BR>\n" );
document.write( "-3x+1y=37<BR>\n" );
document.write( "__________<BR>\n" );
document.write( "-9x+8y=146<BR>\n" );
document.write( "+9x-3y=-111<BR>\n" );
document.write( "____________<BR>\n" );
document.write( "5y=35<BR>\n" );
document.write( "________<BR>\n" );
document.write( "5   5<BR>\n" );
document.write( "y=7\r<BR>\n" );
document.write( "\n" );
document.write( "-3x+7=37<BR>\n" );
document.write( "-3x=30<BR>\n" );
document.write( "x=-10<BR>\n" );
document.write( "So y=7 and x=-10\r<BR>\n" );
document.write( "\n" );
document.write( "Plug these in and check them </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );