document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112052>Question 1112052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 1 :<BR>\n" );
document.write( "Show all work to solve this system by the substitution method :<BR>\n" );
document.write( "     4x + 2y = 6<BR>\n" );
document.write( "     6x = 9 - 3y<BR>\n" );
document.write( "a. What is the solution ? Show all work<BR>\n" );
document.write( "b. Is this system consistent or inconsistent ? Explain why.<BR>\n" );
document.write( "c. Is this system dependent or independent ? Explain why.<BR>\n" );
document.write( "Question 2 :<BR>\n" );
document.write( "Given the system :<BR>\n" );
document.write( "     3x = 2y + 7<BR>\n" );
document.write( "     4x - 3y = 10<BR>\n" );
document.write( "a. Solve this system using the Elimination/Addition Mehod : Put the equations in standard form. What variable did you eleminate first ? Show all work.<BR>\n" );
document.write( "b. What is the solution ?<BR>\n" );
document.write( "Question 3 :<BR>\n" );
document.write( "     There are three possibilities for the solution set of a system of linear equations. Describe each possibility, including if the system is consistent or inconsistent and if the system is dependent or independent and why. Explain what the graph of the equations for each possibility would look like.<BR>\n" );
document.write( "Thank you very much<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 #727072 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=727072\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question 1 :<BR>\n" );
document.write( "Show all work to solve this system by the substitution method :<BR>\n" );
document.write( "4x + 2y = 6<BR>\n" );
document.write( "6x = 9 - 3y<BR>\n" );
document.write( "a. What is the solution ? Show all work<BR>\n" );
document.write( "2x + y = 3<BR>\n" );
document.write( "2x + y = 3<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "b. Is this system consistent or inconsistent ? Explain why.<BR>\n" );
document.write( "consistent:: it has solutions--- an infinite number of them<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "c. Is this system dependent or independent ? Explain why.<BR>\n" );
document.write( "dependent:: one equation is a multiple of the other<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Question 2 :<BR>\n" );
document.write( "Given the system :<BR>\n" );
document.write( "3x = 2y + 7<BR>\n" );
document.write( "4x - 3y = 10<BR>\n" );
document.write( "a. Solve this system using the Elimination/Addition Mehod : Put the equations in standard form. What variable did you eleminate first ? Show all work.<BR>\n" );
document.write( "12x - 8y = 28<BR>\n" );
document.write( "12x - 9y = 30<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = -2<BR>\n" );
document.write( "Solve for \"x\"::<BR>\n" );
document.write( "x = (2y+7)/3 = (-4+7)/3 = 1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "b. What is the solution ?::: (-2,1)<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Question 3 :<BR>\n" );
document.write( "There are three possibilities for the solution set of a system of linear equations. Describe each possibility, including if the system is consistent or inconsistent and if the system is dependent or independent and why. Explain what the graph of the equations for each possibility would look like.<BR>\n" );
document.write( "1st:: graphs intersect at one point:: consistent; independent<BR>\n" );
document.write( "2nd:: graphs coincide at all points:: consistent; dependent<BR>\n" );
document.write( "3rd:: graphs are parallel:: inconsistent; independent<BR>\n" );
document.write( "=======<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );