document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100296>Question 100296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please take the time to help me solve the question: Solve the following system of two linear equations by elimination: 3x – 4y = 13 and <BR>\n" );
document.write( "3y + 2 x = 3.\r<BR>\n" );
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document.write( "Thank you, I really appreciate 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 #73156 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of two linear equations by elimination: <BR>\n" );
document.write( "3x – 4y = 13 <BR>\n" );
document.write( "3y + 2x = 3<BR>\n" );
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document.write( "Arrange the 2nd equation to be in the standard form like the 1st equation:<BR>\n" );
document.write( "3x - 4y = 13<BR>\n" );
document.write( "2x + 3y = 3<BR>\n" );
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document.write( "We will eliminate x, <BR>\n" );
document.write( "multiply the 1st equation by 2,<BR>\n" );
document.write( "multiply the 2nd equation by 3<BR>\n" );
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document.write( "6x - 8y = 26<BR>\n" );
document.write( "6x + 9y =  9<BR>\n" );
document.write( "---------------subtracting eliminates x, find y<BR>\n" );
document.write( "0x - 17y = 17<BR>\n" );
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document.write( "-17y = 17<BR>\n" );
document.write( "y = 17/-17; divide both sides by -17<BR>\n" );
document.write( "y = -1<BR>\n" );
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document.write( "Substitute -1 for y in the 1st equation and find x<BR>\n" );
document.write( "3x - 4(-1) = 13<BR>\n" );
document.write( "3x + 4 = 13; minus a minus is a plus<BR>\n" );
document.write( "3x = 13 - 4<BR>\n" );
document.write( "3x = 9<BR>\n" );
document.write( "x = 9/3<BR>\n" );
document.write( "x = +3\r<BR>\n" );
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document.write( "Check both solutions by substitution in the 2nd equation:<BR>\n" );
document.write( "3y + 2x = 3<BR>\n" );
document.write( "3(-1) + 2(3) = 3<BR>\n" );
document.write( "-3 + 6 = 3; confirms our solutions<BR>\n" );
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document.write( "Could you follow this OK?    </SPAN>\n" );
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