document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=673978>Question 673978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with by solving these systems algebraically they are all 2 variable questions. Thank you\r<BR>\n" );
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document.write( "1.){4x+2y=7<BR>\n" );
document.write( "   y=5x<BR>\n" );
document.write( "2.)3c+2d=2<BR>\n" );
document.write( "   d=4<BR>\n" );
document.write( "3.)x+12y=68<BR>\n" );
document.write( "   x=8y-12<BR>\n" );
document.write( "4.)4p+2q=8<BR>\n" );
document.write( "   q=2p+1<BR>\n" );
document.write( "5.)x+3y=7<BR>\n" );
document.write( "   2x-4y=24<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 #420632 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=420632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)<BR>\n" );
document.write( "given y = 5x<BR>\n" );
document.write( "substitute into 4x+2y=7 to get<BR>\n" );
document.write( "4x + 2(5x) = 7<BR>\n" );
document.write( "4x + 10x = 7<BR>\n" );
document.write( "14x = 7<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F14+=+1%2F7 ALIGN=MIDDLE  ALT=\"7%2F14+=+1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 5<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F7 ALIGN=MIDDLE  ALT=\"5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "2)<BR>\n" );
document.write( "given d=4<BR>\n" );
document.write( "substitute into 3c+2d=2 to get<BR>\n" );
document.write( "3c+2(4)=2<BR>\n" );
document.write( "3c + 8 = 2<BR>\n" );
document.write( "3c = 2-8<BR>\n" );
document.write( "3c = -6<BR>\n" );
document.write( "c = -2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "3)<BR>\n" );
document.write( "given x = 8y-12<BR>\n" );
document.write( "substitute into x+12y=68 to get<BR>\n" );
document.write( "8y-12 + 12y = 68<BR>\n" );
document.write( "20y = 68 + 12<BR>\n" );
document.write( "20y = 80<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "x = 8(4) - 12 = 32 - 12 = 20<BR>\n" );
document.write( "...<BR>\n" );
document.write( "4)<BR>\n" );
document.write( "given q = 2p+1<BR>\n" );
document.write( "substitute into 4p+2q=8 to get<BR>\n" );
document.write( "4p + 2(2p+1) = 8<BR>\n" );
document.write( "4p + 4p + 2 = 8<BR>\n" );
document.write( "8p = 8 - 2<BR>\n" );
document.write( "8p = 6<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%283%2F4%29+%2B+1+=+3%2F2+%2B+1+=+3%2F2+%2B+2%2F2+=+5%2F2 ALIGN=MIDDLE  ALT=\"%282%29%283%2F4%29+%2B+1+=+3%2F2+%2B+1+=+3%2F2+%2B+2%2F2+=+5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "5)<BR>\n" );
document.write( "Rearrange x+3y = 7 as x= 7-3y<BR>\n" );
document.write( "substitute into 2x-4y=24 to get<BR>\n" );
document.write( "2(7-3y) - 4y = 24<BR>\n" );
document.write( "14 - 6y - 4y = 24<BR>\n" );
document.write( "-10y = 24 - 14<BR>\n" );
document.write( "-10y = 10<BR>\n" );
document.write( "y = -1<BR>\n" );
document.write( "x = 7 - 3(-1) = 7 + 3 = 10<BR>\n" );
document.write( ".....................<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );