document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468771>Question 468771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello Tutors of Algebra.com ,\r<BR>\n" );
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document.write( "I just want to ask how to solve this problem ?\r<BR>\n" );
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document.write( "3x - 2y = 6x - 3y + 4 \r<BR>\n" );
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document.write( "how can I change it to standard form  ?<BR>\n" );
document.write( "how can I change it to slope intercept?\r<BR>\n" );
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document.write( "and can you provide solutions so I can understand clearly?\r<BR>\n" );
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document.write( "thanks in advance I hope you can answer me </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321677 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=321677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation is 3x - 2y = 6x - 3y + 4<BR>\n" );
document.write( "standard form of the equation is ax + by = c<BR>\n" );
document.write( "subtract 6x from both sides of the equation to get:<BR>\n" );
document.write( "-3x - 2y = -3y + 4<BR>\n" );
document.write( "add 3y to both sides of the equation to get:<BR>\n" );
document.write( "-3x + y = 4<BR>\n" );
document.write( "the equation is now in standard form.<BR>\n" );
document.write( "a = -3<BR>\n" );
document.write( "b = 1<BR>\n" );
document.write( "c = 4<BR>\n" );
document.write( "slope intercept form of the equation is y = mx + b where m is the slope and b is the y intercept.<BR>\n" );
document.write( "add 3x to both sides of the equation of -3x + y = 4 to get:<BR>\n" );
document.write( "y = 3x + 4<BR>\n" );
document.write( "the equation is now in slope intercept form.<BR>\n" );
document.write( "m = slope = 3<BR>\n" );
document.write( "y intercept = value of y when x is equal to 0 = 4<BR>\n" );
document.write( "graph of y = 3x + 4 is shown below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-3%2C3%2C-15%2C15%2C3x%2B4%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-3%2C3%2C-15%2C15%2C3x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you can plot the values of y for x = 0,1,2 from either the slope intercept form of the equation or the standard form of the equation.<BR>\n" );
document.write( "the slope intercept form is easier since it has already solved for y in terms of x.<BR>\n" );
document.write( "when x = 0, y = 4<BR>\n" );
document.write( "when x = 1, y = 7<BR>\n" );
document.write( "when x = 2, y = 10<BR>\n" );
document.write( "working from the standard form of the equation, you'll get the same answer.<BR>\n" );
document.write( "for example:<BR>\n" );
document.write( "when x = 2, the standard form of the equation of -3x + y = 4 becomes -6 + y = 4 which becomes y = 10 after you add 6 to both sides of the equation.<BR>\n" );
document.write( "the original form of the equation should also get you the right answer if you converted everything correctly.<BR>\n" );
document.write( "the original form of the equation is -3x - 2y = -3y + 4<BR>\n" );
document.write( "replacing x with 2, you get:<BR>\n" );
document.write( "-6 - 2y = -3y + 4<BR>\n" );
document.write( "add 6 to both sides of the equation to get -2y = -3y + 10<BR>\n" );
document.write( "add 3y to both sides of the equation to get y = 10<BR>\n" );
document.write( "when x = 2, y = 10.<BR>\n" );
document.write( "all forms of the equation get you the same value of y for the same value of x as they should.<BR>\n" );
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