document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44238>Question 44238</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0201755262/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve each system by substitution.  Determine whether each system is independent, inconsistent, or dependent\r<BR>\n" );
document.write( "\n" );
document.write( "3x - 2y = 7<BR>\n" );
document.write( "-3x + y = 5 </SPAN>\n" );
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document.write( "3x - 2y = 7<BR>\n" );
document.write( "-3x + y = 5<BR>\n" );
document.write( "we can solve the second one for y and substitute it into the first one, so we get<BR>\n" );
document.write( "y = 3x + 5 and then<BR>\n" );
document.write( "3x - 2(3x + 5) = 7<BR>\n" );
document.write( "3x - 6x - 10 = 7<BR>\n" );
document.write( "-3x - 10 = 7<BR>\n" );
document.write( "-3x = 17<BR>\n" );
document.write( "x = -17/3<BR>\n" );
document.write( "If we plug that in to the first equation and get<BR>\n" );
document.write( "3(-17/3) - 2y = 7<BR>\n" );
document.write( "-17 - 2y = 7<BR>\n" );
document.write( "-2y = 24<BR>\n" );
document.write( "and finally<BR>\n" );
document.write( "y = -12<BR>\n" );
document.write( "Our solution is (-17/3, -12) and our system is consistent and independent. </SPAN>\n" );
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