document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=791444>Question 791444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive integers such that five times the third integer equals twice the first integer plus seven more than the second integer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806349 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Oh, my........<br><BR>\n" );
document.write( "Tutor @CubeyThePenguin: wrong equation, leading to wrong answer.<br><BR>\n" );
document.write( "Tutor @MathTherapy: nothing of use to you the student....<br><BR>\n" );
document.write( "Tutor @josgarithmetic: algebra errors, leading to wrong answer... (which she could have seen if she had bothered to check to see if her answers were right).<br><BR>\n" );
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document.write( "While there are many problems involving three consecutive integers where it is advantageous to call the numbers x-1, x, and x+1, I don't see that being helpful here.  So let the numbers be x, x+1, and x+2.  Then<br><BR>\n" );
document.write( "\"...five times the third integer equals twice the first integer plus seven more than the second integer\"<br><BR>\n" );
document.write( "5 times the third integer: 5(x+2)<br><BR>\n" );
document.write( "twice the first integer plus 7 more than the second integer: 2x+((x+1)+7)<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x%2B2%29+=+2x%2B%28%28x%2B1%29%2B7%29 ALIGN=MIDDLE  ALT=\"5%28x%2B2%29+=+2x%2B%28%28x%2B1%29%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B10+=+3x%2B8 ALIGN=MIDDLE  ALT=\"5x%2B10+=+3x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+-2 ALIGN=MIDDLE  ALT=\"2x+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1 ALIGN=MIDDLE  ALT=\"x+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The three consecutive integers are -1, 0, and 1.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "5 times the third integer: 5(1) = 5<br><BR>\n" );
document.write( "twice the first integer plus 7 more than the second integer: 2(-1)+(0+7) = -2+7 = 5<br>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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