document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187243>Question 1187243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=-5/3x-1<BR>\n" );
document.write( "y=x+7\r<BR>\n" );
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document.write( "Its asking to solve equation by graphing, then it ask for <BR>\n" );
document.write( "X=?<BR>\n" );
document.write( "Y=?<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 #818177 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=818177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here's the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/110407.jpg\" >\r<BR>\n" );
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document.write( "the intersection point is at (x,y) = (12,19).\r<BR>\n" );
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document.write( "that means y = 19 when x = 12.\r<BR>\n" );
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document.write( "if you solve algebraically, you should get the same answer.\r<BR>\n" );
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document.write( "algebraically, you would do the following:\r<BR>\n" );
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document.write( "the two equatons that need to be solved simultaneously are:\r<BR>\n" );
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document.write( "y=-5/3x-1<BR>\n" );
document.write( "y=x+7\r<BR>\n" );
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document.write( "since they are both equal to y, then 5/3 * x - 1 must be equal to x + 7.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "5/3 * x - 1 = x + 7\r<BR>\n" );
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document.write( "subtract x from both sides of the equation and add 1 to both sides of the equation t0 get:\r<BR>\n" );
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document.write( "5/3 * x - x = 7 + 1\r<BR>\n" );
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document.write( "multiply both sides of this equation by 3 to get:\r<BR>\n" );
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document.write( "5 * x - 3 * x = 3 * (7 + 1)\r<BR>\n" );
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document.write( "combine like terms and simplify to get:\r<BR>\n" );
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document.write( "2*x = 24.\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 24/2 = 12.\r<BR>\n" );
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document.write( "replace x in both original equations to get:\r<BR>\n" );
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document.write( "y=-5/3x-1 becomes y = 5/3 * 12 - 1 = 20 - 1 = 19.<BR>\n" );
document.write( "y=x+7 becomes y = 12 + 7 = 19.\r<BR>\n" );
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document.write( "the value of x is 12 in both equations and the value of y = 19 in both equations.\r<BR>\n" );
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document.write( "both equations have been solved simultaneously by the value of x = 12 and y = 19.\r<BR>\n" );
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document.write( "the graphical solution provided the same answer.\r<BR>\n" );
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document.write( "that's because x = 12 when y = 19 is common to both equations which means it's also common to both lines on the graph created by those equations.\r<BR>\n" );
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