document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=836843>Question 836843</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the solution(s) of the system of equations, if any.<BR>\n" );
document.write( "6x + 6y = 12<BR>\n" );
document.write( "y = 5 - 7x\r<BR>\n" );
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document.write( "My thinking is put it into y=mx+b form: I moved the 6x from the left to the right: 6y=-6x+12 then divided all of that by 6 to isolate the y: y=-1x+2.  For the other set: y=5-7x, I simply rearranged it to read: y=-7x+5.  I believe my graphing points would then be (for the first set) (0,2) and (1,-1) and (second set) (0,5) and (1,-7).  I believe the solution should be the points at which the two lines meet on the graph which I show as (1,1).  As you can see, that is not an option.\r<BR>\n" );
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document.write( "These are the possible answers, but when I work it out, I do not come up with any of these!<BR>\n" );
document.write( "(1.5, –0.5)<BR>\n" );
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document.write( "(1.5, 0.5)<BR>\n" );
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document.write( "(–0.5, 1.5)<BR>\n" );
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document.write( "(0.5, 1.5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #504373 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=504373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You had the following:<BR>\n" );
document.write( "y=-1x+2 and y=5-7x.<BR>\n" );
document.write( "So since each right hand side is equal y<BR>\n" );
document.write( "-1x + 2 = 5 - 7x<BR>\n" );
document.write( "add 1x to each side<BR>\n" );
document.write( "2 = 5 -6x<BR>\n" );
document.write( "add -5 to each side<BR>\n" );
document.write( "-3 = -6x<BR>\n" );
document.write( "divide each side by -6<BR>\n" );
document.write( "1/2 = x<BR>\n" );
document.write( "Substitute 1/2 for x in y = 5 - 7x<BR>\n" );
document.write( "y = 5 -7(1/2)<BR>\n" );
document.write( "y = 5 -7/2<BR>\n" );
document.write( "y = 10/2 -7/2<BR>\n" );
document.write( "y = 3/2<BR>\n" );
document.write( "So our solution is x = 1/2 y= 3/2 or x = 0.5 y = 1.5<BR>\n" );
document.write( "This is the same as your last choice (0.5,1.5)<BR>\n" );
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