document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=695888>Question 695888</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The systems of equations -2x=4-y 8-2y=x is a what type of system please help me and thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428672 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=428672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve both for y<BR>\n" );
document.write( "...<BR>\n" );
document.write( "-2x = 4 - y<BR>\n" );
document.write( "y = 2x + 4<BR>\n" );
document.write( "...<BR>\n" );
document.write( "8-2y=x<BR>\n" );
document.write( "2y = -x + 8<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 4<BR>\n" );
document.write( "...<BR>\n" );
document.write( "The system is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28independent%29 ALIGN=MIDDLE  ALT=\"highlight_green%28independent%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, there is one solution/point of intersection.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "The slope 2 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > are negative inverse/reciprocals, therefore, the lines are pependicular and will intersect at one point.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Inconsistent systems are parallel lines, which have the same slope, and never intersect, therefore there is no solution/point of intersection.<BR>\n" );
document.write( "Dependent systems have the same line, such that every point along the line is a solution.<BR>\n" );
document.write( "……………….<BR>\n" );
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