document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130752>Question 130752</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780395977224/algebrahomeworkh>algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me, This problem I have solved, but I have difficulty cheacked it.<BR>\n" );
document.write( "The problem was: Solve and cheack each of the following.<BR>\n" );
document.write( "4   5<BR>\n" );
document.write( "- = -, the answer that I got was x=5.6<BR>\n" );
document.write( "x   7<BR>\n" );
document.write( "It is the right answer, but I dpn't know how to check it. Please help me, Thank You=) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95464 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=95464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have the correct answer. Good job!!!<BR>\n" );
document.write( ".<BR>\n" );
document.write( "To check your answer, just replace x by 5.6 in the original problem and show that both sides of<BR>\n" );
document.write( "the equation are equal. For example, when you go to the original problem and replace x<BR>\n" );
document.write( "by 5.6 the problem becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5.6+=+5%2F7 ALIGN=MIDDLE  ALT=\"4%2F5.6+=+5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "There are several ways that you can check this problem.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "First way ... use your calculator and divide 5.6 into 4. You should find that the answer to this<BR>\n" );
document.write( "is 0.714285714. If you substitute this value into the problem in place of the entire left side<BR>\n" );
document.write( "the problem becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.714285714=5%2F7 ALIGN=MIDDLE  ALT=\"0.714285714=5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now use your calculator to divide 7 into 5 ... and you will again get 0.714285714. <BR>\n" );
document.write( "Substitute this value into the equation in place of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F7 ALIGN=MIDDLE  ALT=\"5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the right side and the<BR>\n" );
document.write( "equation becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.714285714=0.714285714 ALIGN=MIDDLE  ALT=\"0.714285714=0.714285714\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since both sides of the equation are equal to each other, the answer checks ... 4 divided by 5.6<BR>\n" );
document.write( "is equal to 5 divided by 7. So x must equal 5.6<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Second. You can always check proportions by cross multiplying. Multiply the numerator on<BR>\n" );
document.write( "one side by the denominator on the other side. Do this for both numerators, and if the two<BR>\n" );
document.write( "products are equal, the answer checks. So for this problem, multiply the numerator 4 by<BR>\n" );
document.write( "the denominator on the other side (which is 7) and the product is 28. Then multiply the<BR>\n" );
document.write( "numerator 5 by the denominator on the other side (5.6) and you also get a product of 28.<BR>\n" );
document.write( "Since these two cross products are equal, the answer checks and 5.6 is correct.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Third way. Start with:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5.6+=+5%2F7 ALIGN=MIDDLE  ALT=\"4%2F5.6+=+5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Notice that if you multiply the numerator 4 by 1.25 it the product is 5 ... making it the<BR>\n" );
document.write( "same as the numerator on the other side. But if you multiply the numerator by 1.25 then<BR>\n" );
document.write( "you must also multiply its denominator by 1.25. So multiply 5.6 times 1.25 and you get 7. So<BR>\n" );
document.write( "by multiplying both the numerator and denominator on the left side by 1.25 you convert the<BR>\n" );
document.write( "fraction on the left side to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F7 ALIGN=MIDDLE  ALT=\"5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is equal to the right side. In equation form this<BR>\n" );
document.write( "is:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2A1.25%29%2F%285.6%2A1.25%29+=+5%2F7 ALIGN=MIDDLE  ALT=\"%284%2A1.25%29%2F%285.6%2A1.25%29+=+5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "And this is equal to the right side. (Note that multiplying by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.25%2F1.25 ALIGN=MIDDLE  ALT=\"1.25%2F1.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same<BR>\n" );
document.write( "as multiplying by 1, so you are not changing the value of the original equation of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5.6 ALIGN=MIDDLE  ALT=\"4%2F5.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope one of these ways will work for you in checking the problem.<BR>\n" );
document.write( ". </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );