document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181299>Question 181299</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780618803590/algebrahomeworkh>Beginning Algebra with applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Is -1 a solution of 4square -1=4y + 3 ?\r<BR>\n" );
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document.write( "I have trouble working these I do understand you have to do to the same side as you do to the other. please understand I am a 40 year old going back to school and never had algebra in high school at all. If I had only know I would have paid alot more attention in school and taken college bound courses.\r<BR>\n" );
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document.write( "thanks for your help and God Bless </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135935 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=135935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Do you mean:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math 4^2 -1=4y + 3\">?\r<BR>\n" );
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document.write( "If so, then to determine if a value is a solution to an equation, you simply substitute that value for the variable and do the arithmetic to determine if you have a true statement or not, thus:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math 4^2 -1=4(-1) + 3 \ \ \Rightarrow \ \ 16 - 1 = -4 + 3 \ \ \Rightarrow \ \ 15 = -1\"> is clearly a false statement.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math 15 \neq -1\"> (Unless you are talking about Financial System bailouts and such).\r<BR>\n" );
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document.write( "Substituting -1 for the variable <i>y</i> <i><b>does not</b></i> result in a true statement, therefore -1 is <i><b>not</b></i> a solution to the equation.\r<BR>\n" );
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document.write( "Just for fun, let's see what the solution set does contain:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math 4^2 -1=4y + 3 \ \ \Rightarrow \ \ 16 - 1 = 4y + 3 \ \ \Rightarrow \ \ 15 = 4y + 3\">.\r<BR>\n" );
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document.write( "Now add -3 to both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math 15 = 4y + 3 \ \ \Rightarrow \ \ 15 + (-3) = 4y + 3 + (-3) \ \ \Rightarrow \ \ 12 = 4y\">.\r<BR>\n" );
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document.write( "Now multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac {1}{4}\">:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math 12 = 4y \ \ \Rightarrow \ \ 12 \left(\frac{1}{4}\right) = 4y\left(\frac{1}{4}\right) \ \ \Rightarrow \ \ 3 = y \ \ \Rightarrow \ \ y = 3\">.\r<BR>\n" );
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document.write( "Hence, the solution set contains the single element 3. \r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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