document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56807>Question 56807</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495012661/algebrahomeworkh>college algebra</A><BR>\n" );
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document.write( "I am solving by addition method.  These two equations have a bracket at the left end emcompassing both of the equations.  \r<BR>\n" );
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document.write( "{2x  +  3y =8<BR>\n" );
document.write( "{-5x + y = -3\r<BR>\n" );
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document.write( "remember the bracket at the left encompassing both equations.  I can't draw one to go for both lines.  \r<BR>\n" );
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document.write( "my attempt\r<BR>\n" );
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document.write( "{2x + 3y =8        15x+10y=40<BR>\n" );
document.write( "{-5x +y  =-3       50x-10y= 30<BR>\n" );
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document.write( "  ------------------65x = 70<BR>\n" );
document.write( "---------------------x= 1.76\r<BR>\n" );
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document.write( "Then i have to plug back in to the equation:\r<BR>\n" );
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document.write( "2x + 3y    =8<BR>\n" );
document.write( "2(1.76)+3y =8<BR>\n" );
document.write( "3.52 + 3y  =8<BR>\n" );
document.write( "3y=4.48<BR>\n" );
document.write( "y= 1.49\r<BR>\n" );
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document.write( "Is this correct?  Help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38562 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=38562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> {1st: 2x + 3y =8<BR>\n" );
document.write( "{2nd: -5x + y = -3 <BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Multiply 2nd by 3 to get:<BR>\n" );
document.write( "3rd: -15x+3y=-9<BR>\n" );
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document.write( "Subtract 3rd from 1st to get:<BR>\n" );
document.write( "17x=17<BR>\n" );
document.write( "x=1<BR>\n" );
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document.write( "Substitue into 1st or 2nd to solve for y:<BR>\n" );
document.write( "2(1)+3y=8<BR>\n" );
document.write( "3y=6<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Check the solution: x=1, y=2 in 2nd.<BR>\n" );
document.write( "-5(1)+2=-3<BR>\n" );
document.write( "-5+2=-3<BR>\n" );
document.write( "-3=-3<BR>\n" );
document.write( "It checks.<BR>\n" );
document.write( "So the solution for the system is (1,2)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );