document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64515>Question 64515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To solve systems of equations by the substitution method.  Please help my son to solve these 3 homework questions:\r<BR>\n" );
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document.write( "(1)  x – y = 2<BR>\n" );
document.write( "     4x – 3y = 11\r<BR>\n" );
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document.write( "(2)  – 2x + 3y = 14<BR>\n" );
document.write( "     x + 2y = 7\r<BR>\n" );
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document.write( "(3) 6x – y = -4<BR>\n" );
document.write( "    2x + 2y = 15\r<BR>\n" );
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document.write( "Thanks so much for all your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45123 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=45123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) x – y = 2<BR>\n" );
document.write( "4x – 3y = 11<BR>\n" );
document.write( "Solve the 1st equation for x: x=y+2<BR>\n" );
document.write( "Substitue in the 2nd equation to solve for y:<BR>\n" );
document.write( "4(y+2)-3y=11<BR>\n" );
document.write( "4y+8-3y=11<BR>\n" );
document.write( "y=3<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Substitue into x=y+2 to solve for x:<BR>\n" );
document.write( "x=3+2<BR>\n" );
document.write( "x=5<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "SOLUTION:<BR>\n" );
document.write( "x=5, y=3<BR>\n" );
document.write( "====================== <BR>\n" );
document.write( "(2) – 2x + 3y = 14<BR>\n" );
document.write( "x + 2y = 7 <BR>\n" );
document.write( "Solve the 2nd equation for x:<BR>\n" );
document.write( "x=-2y+7<BR>\n" );
document.write( "Substitute into the 1st equation:<BR>\n" );
document.write( "-2(-2y+7)+3y=14<BR>\n" );
document.write( "4y-14+3y=14<BR>\n" );
document.write( "7y=28<BR>\n" );
document.write( "y=4<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Substitute into x=-2y+7 to solve for x:<BR>\n" );
document.write( "x=-2(4)+7<BR>\n" );
document.write( "x=-1<BR>\n" );
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document.write( "SOLUTION:<BR>\n" );
document.write( "x=-1, y=4<BR>\n" );
document.write( "========================\r<BR>\n" );
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document.write( "(3) 6x – y = -4<BR>\n" );
document.write( "2x + 2y = 15 <BR>\n" );
document.write( "solve the 1st for y to get:<BR>\n" );
document.write( "y=6x+4<BR>\n" );
document.write( "Substitute into the 2nd to get:<BR>\n" );
document.write( "2x+2(6x+4)=15<BR>\n" );
document.write( "2x+12x+8=15<BR>\n" );
document.write( "14x=7<BR>\n" );
document.write( "x=1/2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substitute into y=6x+4 to get:<BR>\n" );
document.write( "y=6(1/2)+4<BR>\n" );
document.write( "y=3+4<BR>\n" );
document.write( "y=7<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "x=1/2; y=7<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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