document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107923>Question 1107923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the x and y-intercepts of in terms of the constants a, b and c for these relations.\r<BR>\n" );
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document.write( "ax+by=c<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 #722970 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=722970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your x-intercept is the value of x when y is equal to 0.\r<BR>\n" );
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document.write( "start with ax + by = c<BR>\n" );
document.write( "set y = 0.<BR>\n" );
document.write( "equation becomes ax = c<BR>\n" );
document.write( "solve for x to get x = c/a.\r<BR>\n" );
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document.write( "your y-intercept is the value of y when x is equal to 0.\r<BR>\n" );
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document.write( "start with ax + by = c<BR>\n" );
document.write( "set x = 0.<BR>\n" );
document.write( "equation becomes by = c.<BR>\n" );
document.write( "solve for y to get y = c/b.\r<BR>\n" );
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document.write( "let's see how this works.\r<BR>\n" );
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document.write( "our equation if 5x + 10y = 30\r<BR>\n" );
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document.write( "set y = 0 and the equation becomes 5x = 30<BR>\n" );
document.write( "solve for x to get x = 6.<BR>\n" );
document.write( "that's your x-intercept.\r<BR>\n" );
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document.write( "set x = 0 and the equation becomes 10y = 30<BR>\n" );
document.write( "solve for y to get y = 3.<BR>\n" );
document.write( "that's your y-intercept.\r<BR>\n" );
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document.write( "we said that x-intercept = c/a and y-intercept = c/b.\r<BR>\n" );
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document.write( "when the equation is 5x + 10y = 30, we get a=5, b=10, c=30.\r<BR>\n" );
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document.write( "x-intercept = c/a = 30/5 = 6.<BR>\n" );
document.write( "y-intercept = c/b = 30/10 =3.\r<BR>\n" );
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document.write( "it all checks out.\r<BR>\n" );
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document.write( "the graph of the equation looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/013001.jpg\" alt=\"$$$\">\r<BR>\n" );
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document.write( "the coordinate points are in (x,y) format.\r<BR>\n" );
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document.write( "the y-intercept is at the point (0,3).<BR>\n" );
document.write( "that's the value of y when the value of x is equal to 0.\r<BR>\n" );
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document.write( "the x-intercept is at the point (6,0).<BR>\n" );
document.write( "that's the value of x when the value of y is equal to 0.\r<BR>\n" );
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