document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273883>Question 273883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on how to simplify an equation.<BR>\n" );
document.write( "This is the equation:<BR>\n" );
document.write( "y=-2/5x-18<BR>\n" );
document.write( "2x-3y=22<BR>\n" );
document.write( "I need to find the value of x and y and can you please show me the steps?<BR>\n" );
document.write( "(-2/5x is a fraction) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200014 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=200014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is the equation:<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F5 ALIGN=MIDDLE  ALT=\"-2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - 18<BR>\n" );
document.write( "2x - 3y = 22<BR>\n" );
document.write( ":<BR>\n" );
document.write( "get rid of the denominator in the 1st equation multiply by 5, results<BR>\n" );
document.write( "5y = -2x - 90<BR>\n" );
document.write( "put it in the standard form, then subtract the 2nd equation from it<BR>\n" );
document.write( "2x + 5y = -90<BR>\n" );
document.write( "2x - 3y = 22<BR>\n" );
document.write( "---------------subtraction eliminates x, find y<BR>\n" );
document.write( "8y = -112<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-112%29%2F8 ALIGN=MIDDLE  ALT=\"%28-112%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = -14<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the 2nd equation to find x,<BR>\n" );
document.write( "2x - 3y = 22<BR>\n" );
document.write( "Substitute -14 for y<BR>\n" );
document.write( "2x - 3(-14) = 22<BR>\n" );
document.write( "2x - (-42) = 22<BR>\n" );
document.write( "2x + 42 = 22<BR>\n" );
document.write( "2x = 22 - 42<BR>\n" );
document.write( "2x = -20<BR>\n" );
document.write( "x = -10<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = -10, y = -14,<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in original first equation<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F5 ALIGN=MIDDLE  ALT=\"-2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - 18<BR>\n" );
document.write( "Substitute for x and y, check for equality<BR>\n" );
document.write( "-14 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F5 ALIGN=MIDDLE  ALT=\"-2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >(-10) - 18<BR>\n" );
document.write( "Cancel the 5 into -10 and you have<BR>\n" );
document.write( "-14 = -2(-2) - 18<BR>\n" );
document.write( "-14 = +4 - 18; confirms our solutions<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );