document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018020>Question 1018020</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system using the elimination method. Check your answer. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)<BR>\n" );
document.write( "g = &#8722;0.1f + 6.9<BR>\n" );
document.write( "f + 10g = 69 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634263 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=634263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe this will give you an infinited number of solutions.\r<BR>\n" );
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document.write( "your two equations are g = -.1f + 6.9 and f + 10g = 69\r<BR>\n" );
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document.write( "take the first equation and put it in a similar form to the second equation as follows:\r<BR>\n" );
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document.write( "start with g = -.1f + 6.9<BR>\n" );
document.write( "add .1f to both sides of the equation to get .1f + g = 6.9<BR>\n" );
document.write( "multiply both sides of this equation by 10 to get f + 10g = 69\r<BR>\n" );
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document.write( "your two equations are identical.\r<BR>\n" );
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document.write( "the first equation is f + 10g = 69<BR>\n" );
document.write( "your second equation is f + 10g = 69\r<BR>\n" );
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document.write( "this means you have an infinite number of solutions.\r<BR>\n" );
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document.write( "you could also have put both equations in y = mx + b form.<BR>\n" );
document.write( "this form is the slope intercept form of the equation of a straight line.<BR>\n" );
document.write( "m is the slope and b is the y-intercept.\r<BR>\n" );
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document.write( "if the slope is the same and the y-intercept is different, then the lines are parallel and there is no common solution.\r<BR>\n" );
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document.write( "if the slope is the same and the y-intercept is the same, then the lines are identical and there is an infinite number of solutions.\r<BR>\n" );
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document.write( "you can leave g = -.1f + 6.9 as is, since it is already in y = mx + b form.\r<BR>\n" );
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document.write( "start with f + 10g = 69<BR>\n" );
document.write( "subtract f from both sides of this equation to get 10g = -f + 69<BR>\n" );
document.write( "divide both sides of this equation by 10 to get g = -.1f + 6.9\r<BR>\n" );
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document.write( "the equations are identical because their slopes are the same and their y-intercepts are the same.\r<BR>\n" );
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document.write( "this means there is an infinite number of solutions that will solve both equations simultaneously.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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