document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=3804>Question 3804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me solve this Linear Equation\r<BR>\n" );
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document.write( "x-5y=-154<BR>\n" );
document.write( "x-3y=-84 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1662 by </B><A HREF=/tutors/aboutme.mpl?userid=WannabeCAgirl83><B>WannabeCAgirl83(35)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=WannabeCAgirl83><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=1662\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "There you go... ;-)\r<BR>\n" );
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document.write( "x – 5y = - 154 (Lets name this Equation 1)<BR>\n" );
document.write( "x – 3y = - 84 (Lets name this Equation 2)\r<BR>\n" );
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document.write( "Step # 1<BR>\n" );
document.write( "Isolating x in Equation 1:\r<BR>\n" );
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document.write( "x – 5y = - 154<BR>\n" );
document.write( "x – 5y = - 154 | + 5y on both sides<BR>\n" );
document.write( "x = - 154 + 5y\r<BR>\n" );
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document.write( "Step # 2<BR>\n" );
document.write( "Substituting x in Equation 2 with the term found for x in step # 1, then isolating y :\r<BR>\n" );
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document.write( "x – 3y = - 84<BR>\n" );
document.write( "- 154 + 5y – 3y = - 84 | re-arranging<BR>\n" );
document.write( "- 154 + 2y = - 84 | + 154 on both sides<BR>\n" );
document.write( "2y = 70 | : 2 on both sides<BR>\n" );
document.write( "y = 35\r<BR>\n" );
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document.write( "Step # 3<BR>\n" );
document.write( "Substituting y in Equation 1 with the term found for y in step # 2, then again isolating x :\r<BR>\n" );
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document.write( "x – 5y = - 154<BR>\n" );
document.write( "x – 5(35) = - 154<BR>\n" );
document.write( "x – 175 = - 154 | + 175 on both sides<BR>\n" );
document.write( "x = 21\r<BR>\n" );
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document.write( "Step # 4:<BR>\n" );
document.write( "Validating solutions by substituting them with x and y in both Equations:\r<BR>\n" );
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document.write( "x – 5y = - 154 <BR>\n" );
document.write( "21 – 5(35) = -154 &#8594; true \r<BR>\n" );
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document.write( "x – 3y = - 84<BR>\n" );
document.write( "21 – 3(35) = - 84 &#8594; true<BR>\n" );
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