document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714640>Question 714640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is four more than three times another number.  Find the numbers if the product is 175.\r<BR>\n" );
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document.write( "What I have tried:  3n(n+4)= 175 <BR>\n" );
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document.write( "                    3n^2+9-175 <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 #438916 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=438916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "let numbers be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if a number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is four more than three times number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3y%2B4 ALIGN=MIDDLE  ALT=\"x=3y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq. 1\r<BR>\n" );
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document.write( "if the product is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=175 ALIGN=MIDDLE  ALT=\"175\"   DISABLED_style= \"max-width:90%; height:auto;\" >, than we have:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=175 ALIGN=MIDDLE  ALT=\"xy=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq. 2\r<BR>\n" );
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document.write( "now, we need to solve the system:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3y%2B4 ALIGN=MIDDLE  ALT=\"x=3y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq. 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=175 ALIGN=MIDDLE  ALT=\"xy=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq. 2<BR>\n" );
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document.write( "start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3y%2B4 ALIGN=MIDDLE  ALT=\"x=3y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq. 1 and substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > in eq. 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B4%29y=175 ALIGN=MIDDLE  ALT=\"%283y%2B4%29y=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq. 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%5E2%2B4y=175 ALIGN=MIDDLE  ALT=\"3y%5E2%2B4y=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%5E2%2B4y-175=0 ALIGN=MIDDLE  ALT=\"3y%5E2%2B4y-175=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......use quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"y=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%28-4+%2B-+sqrt%28+4%5E2-4%2A3%2A%28-175%29+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"y=+%28-4+%2B-+sqrt%28+4%5E2-4%2A3%2A%28-175%29+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%28-4+%2B-+sqrt%2816%2B2100+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"y=+%28-4+%2B-+sqrt%2816%2B2100+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%28-4+%2B-+sqrt%282116+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"y=+%28-4+%2B-+sqrt%282116+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%28-4+%2B-+46%29%2F6+ ALIGN=MIDDLE  ALT=\"y=+%28-4+%2B-+46%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%28-4+%2B+46%29%2F6+ ALIGN=MIDDLE  ALT=\"y=+%28-4+%2B+46%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+42%2F6+ ALIGN=MIDDLE  ALT=\"y=+42%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=+7%29+ ALIGN=MIDDLE  ALT=\"highlight%28y=+7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%28-4+-46%29%2F6+ ALIGN=MIDDLE  ALT=\"y=+%28-4+-46%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+-50%2F6+ ALIGN=MIDDLE  ALT=\"y=+-50%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-8.3333333333333333333333333333333%29+ ALIGN=MIDDLE  ALT=\"highlight%28y=-8.3333333333333333333333333333333%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3y%2B4 ALIGN=MIDDLE  ALT=\"x=3y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq. 1...plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2A7%2B4 ALIGN=MIDDLE  ALT=\"x=3%2A7%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=21%2B4 ALIGN=MIDDLE  ALT=\"x=21%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=25%29 ALIGN=MIDDLE  ALT=\"highlight%28x=25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3y%2B4 ALIGN=MIDDLE  ALT=\"x=3y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq. 1...plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-8.3333333333333333333333333333333 ALIGN=MIDDLE  ALT=\"y=-8.3333333333333333333333333333333\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2A%28-8.3333333333333333333333333333333%29%2B4 ALIGN=MIDDLE  ALT=\"x=3%2A%28-8.3333333333333333333333333333333%29%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-25%2B4 ALIGN=MIDDLE  ALT=\"x=-25%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-21%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we have two pairs, one is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=25%29 ALIGN=MIDDLE  ALT=\"highlight%28x=25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and another one is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-21%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-8.3333333333333333333333333333333 ALIGN=MIDDLE  ALT=\"y=-8.3333333333333333333333333333333\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=175 ALIGN=MIDDLE  ALT=\"xy=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....plug in first pair\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2A7=175 ALIGN=MIDDLE  ALT=\"25%2A7=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=175=175 ALIGN=MIDDLE  ALT=\"175=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >....true\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=175 ALIGN=MIDDLE  ALT=\"xy=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....plug in second pair\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-21%2A%28-8.3333333333333333333333333333333%29=175 ALIGN=MIDDLE  ALT=\"-21%2A%28-8.3333333333333333333333333333333%29=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=174.99999999999999999999999999999=175 ALIGN=MIDDLE  ALT=\"174.99999999999999999999999999999=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >....round it to whole number\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=175=175 ALIGN=MIDDLE  ALT=\"175=175\"   DISABLED_style= \"max-width:90%; height:auto;\" >....true\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );