document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153876>Question 153876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, i'm doing a worksheet from algebra 1 about problem solving using equations, but there is for questions asking pretty much the same thing that I do not get. The first one says,\" The sum of three consecutive integers is 279. Find the integers.\" I got this for the equation. x+y+z=279, but I have no clue if it's right, and if it is how to solve it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113234 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=113234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're on the right track, but you only need to use one variable. Consecutive integers are integers like 1, 2, 3, 4, etc. So algebraically, they follow the pattern x, x+1, x+2, etc\r<BR>\n" );
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document.write( "So this means that \r<BR>\n" );
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document.write( "x=first number\r<BR>\n" );
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document.write( "x+1=second number\r<BR>\n" );
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document.write( "x+2=third number\r<BR>\n" );
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document.write( "Since the \"sum of three consecutive integers is 279\", this means that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%28x%2B1%29%2B%28x%2B2%29=279 ALIGN=MIDDLE  ALT=\"x%2B%28x%2B1%29%2B%28x%2B2%29=279\"   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%2Bx%2B1%2Bx%2B2=279 ALIGN=MIDDLE  ALT=\"x%2Bx%2B1%2Bx%2B2=279\"   DISABLED_style= \"max-width:90%; height:auto;\" > Remove the parenthesis\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B3=279 ALIGN=MIDDLE  ALT=\"3x%2B3=279\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=279-3 ALIGN=MIDDLE  ALT=\"3x=279-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=276 ALIGN=MIDDLE  ALT=\"3x=276\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28276%29%2F%283%29 ALIGN=MIDDLE  ALT=\"x=%28276%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=92 ALIGN=MIDDLE  ALT=\"x=92\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=92 ALIGN=MIDDLE  ALT=\"x=92\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the first number is 92, the second number is 93, and the third number is 94\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "92+93+94=279 ... works\r<BR>\n" );
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document.write( " </SPAN>\n" );
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