document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88885>Question 88885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with the following problems. All of these problems ar inside of the curly brackets.. example {     } <BR>\n" );
document.write( "Solve by any convenient method : <BR>\n" );
document.write( "4x + 12y = 24<BR>\n" );
document.write( "2x + 6y = 12  \r<BR>\n" );
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document.write( "Solve by any convenient method : <BR>\n" );
document.write( "8x + 4y =7<BR>\n" );
document.write( "x = 2-2y\r<BR>\n" );
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document.write( "Solve by Elimination : <BR>\n" );
document.write( "2x -3y =-1<BR>\n" );
document.write( "3x + y +15\r<BR>\n" );
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document.write( "Solve by Substitution : \r<BR>\n" );
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document.write( "3x + 8y = 7<BR>\n" );
document.write( "x- 4y =9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64574 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=64574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by any convenient method : <BR>\n" );
document.write( "4x + 12y = 24<BR>\n" );
document.write( "2x + 6y = 12<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Multiply the 2nd equation by 2 and you will see the two equations are the same.<BR>\n" );
document.write( "So the solution for the system of equations is 2x+6y=12 <BR>\n" );
document.write( "or x+3y=6 or y=-(1/3)x+2<BR>\n" );
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document.write( "Solve by any convenient method : <BR>\n" );
document.write( "8x + 4y =7<BR>\n" );
document.write( "x = 2-2y <BR>\n" );
document.write( "------<BR>\n" );
document.write( "Substitute x=2-2y into the 1st equation to solve for y:<BR>\n" );
document.write( "8(2-2y)+4y=7<BR>\n" );
document.write( "16-16y+4y=7<BR>\n" );
document.write( "-12y = -9<BR>\n" );
document.write( "y = 3/4<BR>\n" );
document.write( "-----------------\r<BR>\n" );
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document.write( "Solve by Elimination : <BR>\n" );
document.write( "2x -3y =-1<BR>\n" );
document.write( "3x + y =15 <BR>\n" );
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document.write( "Multiply the 2nd equation by 3 to get:<BR>\n" );
document.write( "9x+3y=45<BR>\n" );
document.write( "Add that to the 1st equation so you can solve for x:<BR>\n" );
document.write( "11x=44<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Substitute that into 3x+y=15 to solve for y:<BR>\n" );
document.write( "3*4+y=15<BR>\n" );
document.write( "y = 3<BR>\n" );
document.write( "------------------------\r<BR>\n" );
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document.write( "Solve by Substitution : <BR>\n" );
document.write( "3x + 8y = 7<BR>\n" );
document.write( "x- 4y =9<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Solve the 2nd equation for x: x=4y+9<BR>\n" );
document.write( "Substitute into the 1st equation so you can solve for y:<BR>\n" );
document.write( "3(4y+9)+8y = 7<BR>\n" );
document.write( "12y+27+8y = 7<BR>\n" );
document.write( "20y = -20<BR>\n" );
document.write( "y = -1<BR>\n" );
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document.write( "Substitute that into x=4y+9 to solve for x:<BR>\n" );
document.write( "x=4*-1+9<BR>\n" );
document.write( "x=5<BR>\n" );
document.write( "============<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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