document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64463>Question 64463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To solve systems of equations by the substitution method.  My son needs help with these 2 problems:\r<BR>\n" );
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document.write( "(1)  x = 3y – 1<BR>\n" );
document.write( "     x +2y = 9\r<BR>\n" );
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document.write( "(2)  2x – 3y = 12<BR>\n" );
document.write( "     x = 4y +1\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45085 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=45085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) x = 3y – 1<BR>\n" );
document.write( "x +2y = 9 <BR>\n" );
document.write( "Substitue the value of x in the 1st equation into the 2nd equation to get:<BR>\n" );
document.write( "(3y-1)+2y=9<BR>\n" );
document.write( "5y-1=9<BR>\n" );
document.write( "5y=10<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "Substitute that value into the 1st equation to solve for x as follows:<BR>\n" );
document.write( "x=3(2)-1<BR>\n" );
document.write( "x=5<BR>\n" );
document.write( "Sustitute x=5 and y=2 into the 2nd equation to check the solution.<BR>\n" );
document.write( "5+2(2)=9<BR>\n" );
document.write( "5+4=9<BR>\n" );
document.write( "9=9<BR>\n" );
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document.write( "SOLUTIOn: x=5 y=2<BR>\n" );
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document.write( "(2) 2x – 3y = 12<BR>\n" );
document.write( "x = 4y +1 <BR>\n" );
document.write( "Substitute the value for x in the 2nd equation into the 1st equation:<BR>\n" );
document.write( "2(4y+1)-3y=12<BR>\n" );
document.write( "8y+2-3y=12<BR>\n" );
document.write( "5y=10<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "Substitute into the 2nd equation to solve for x, as follows:<BR>\n" );
document.write( "x=4(2)+1<BR>\n" );
document.write( "x=9<BR>\n" );
document.write( "Check in the 1st equation:<BR>\n" );
document.write( "2(9)-3(2)=12<BR>\n" );
document.write( "18-6=12<BR>\n" );
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document.write( "SOLUTION: x=9, y=2<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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