document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631940>Question 631940</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? How might you explain your answer to someone who has not learned algebra? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397910 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=397910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? How might you explain your answer to someone who has not learned algebra?<BR>\n" );
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document.write( "Both of the equations taken separately have an infinite number of solutions.<BR>\n" );
document.write( "If you graph them, you get a straight line, of infinite length, and every point on the line is a solution.<BR>\n" );
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document.write( "But, none of the infinite number of solutions fit both equations.<BR>\n" );
document.write( "If you graph them both, you get 2 parallel lines with no intersection.<BR>\n" );
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document.write( "For an algebraic approach (not graphical), since both RH sides equal y, they equal each other:<BR>\n" );
document.write( "4y + 1 = 4y - 1<BR>\n" );
document.write( "Subtract 4y<BR>\n" );
document.write( "+1 = -1<BR>\n" );
document.write( "That is termed \"inconsistent.\"<BR>\n" );
document.write( "--> no solution<BR>\n" );
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