document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224445>Question 224445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation with graphing then classify <BR>\n" );
document.write( "5x-y=10<BR>\n" );
document.write( "5x+6y= -25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167689 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the equation with graphing then classify \r<BR>\n" );
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document.write( "5x-y=10<BR>\n" );
document.write( "5x+6y= -25\r<BR>\n" );
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document.write( "1.  Graphing the two leads to the following picture:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C+-5%2C+5%2C+-10%2C+10%2C+5x-10%2C+-5x%2F6-25%2F6%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C+-5%2C+5%2C+-10%2C+10%2C+5x-10%2C+-5x%2F6-25%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.  ANSWER:  Based on the graph, the two lines intersect at point (1,-5) or x=1 and y=-5.\r<BR>\n" );
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document.write( "Check if the point (1,-5) satisfies the equations:\r<BR>\n" );
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document.write( "5x-y=10 so 5*1-(-5) then 5+5=10  which is a true statement.\r<BR>\n" );
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document.write( "5x+6y= -25 so then 5*1+6*(-5)=5-30=-25 which is a true statement.\r<BR>\n" );
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document.write( "So the intersection point (1,-5) is a solution to the system of equations.\r<BR>\n" );
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document.write( "I hope the above steps and explanation were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV </SPAN>\n" );
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