document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=676205>Question 676205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with solving the following system of linear equations by graphing\r<BR>\n" );
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document.write( "-10x+2y=14<BR>\n" );
document.write( "-5x+y=7\r<BR>\n" );
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document.write( " and than both equations in slope intercept form\r<BR>\n" );
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document.write( "y=?   x+?<BR>\n" );
document.write( "y=?   x+?<BR>\n" );
document.write( " and is it consistent, inconsistent or dependent?\r<BR>\n" );
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document.write( "I also have the same question with\r<BR>\n" );
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document.write( "3x+3y=15<BR>\n" );
document.write( "x+y=-14\r<BR>\n" );
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document.write( "thank you and I appreciate it<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420516 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=420516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -10x + 2y = 14<BR>\n" );
document.write( "-5x + y = 7<BR>\n" );
document.write( "these are dependent as can be seen by multiplying the second equation by 2<BR>\n" );
document.write( "2(-5x+y=7) to get -10x + 2y = 14<BR>\n" );
document.write( "...<BR>\n" );
document.write( "The lines are the same and every point on the line will be a solution.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "3x+3y=15<BR>\n" );
document.write( "x+y=-14<BR>\n" );
document.write( "these are not dependent, as they are different lines, multiply the second equation by -3 and add them<BR>\n" );
document.write( "3x + 3y = 15<BR>\n" );
document.write( "-3(x+y=-14) to get -3x + -3y = 42<BR>\n" );
document.write( "3x + -3x + 3y + -3y = 15 + 42<BR>\n" );
document.write( "0 = 57<BR>\n" );
document.write( "this an untrue statement, so there is no solution for these lines.  <BR>\n" );
document.write( "they are inconsistent.<BR>\n" );
document.write( "**Notably, these both have the same slope of -1, which means they are parallel and explains why there is no solution.**<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-20%2C20%2C-20%2C20%2C-x%2B15%2C-x-14%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-20%2C20%2C-20%2C20%2C-x%2B15%2C-x-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".....................<BR>\n" );
document.write( "Delighted to help.<BR>\n" );
document.write( "-Reading Boosters<BR>\n" );
document.write( "Website: www.MyHomeworkAnswers.com <BR>\n" );
document.write( "Wanting for others what we want for ourselves. </SPAN>\n" );
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