document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729791>Question 729791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If possible solve the system of equations. Use any method. If there is not a unique solution state a reason why<BR>\n" );
document.write( "3x-9y=3<BR>\n" );
document.write( "-15x+45y=-15<BR>\n" );
document.write( "thanks!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446574 by </B><A HREF=/tutors/aboutme.mpl?userid=lenny460><B>lenny460(1073)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lenny460><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=lenny460><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=446574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If possible solve the system of equations. Use any method. If there is not a unique solution state a reason why<BR>\n" );
document.write( "3x - 9y = 3<BR>\n" );
document.write( "-15x + 45y = -15<BR>\n" );
document.write( "thanks!!\r<BR>\n" );
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document.write( "The above system of equation can be<BR>\n" );
document.write( "solved by substitution.\r<BR>\n" );
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document.write( "3x - 9y = 3 (Equation 1)\r<BR>\n" );
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document.write( "-15x + 45y = -15 (Equation 2)\r<BR>\n" );
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document.write( "We first take Equation 1\r<BR>\n" );
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document.write( "3x - 9y = 3\r<BR>\n" );
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document.write( "Add 9y to each side of the equation.\r<BR>\n" );
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document.write( "3x - 9y + 9y = 3 + 9y\r<BR>\n" );
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document.write( "3x = 3 + 9y\r<BR>\n" );
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document.write( "Divide each item above by 3:\r<BR>\n" );
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document.write( "x = 1 + 3y (Equation 3)\r<BR>\n" );
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document.write( "Substitute Equation 3 into Equation 2.\r<BR>\n" );
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document.write( "-15x + 45y = -15 (Equation 2)\r<BR>\n" );
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document.write( "-15(1 + 3y) + 45y = -15\r<BR>\n" );
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document.write( "-15 - 45y + 45y = -15\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "-45y + 45y = 0\r<BR>\n" );
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document.write( "Therefore:\r<BR>\n" );
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document.write( "-15 = -15\r<BR>\n" );
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document.write( "Divide each side by -15\r<BR>\n" );
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document.write( "x = 1\r<BR>\n" );
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document.write( "Substitute x = 1 into Equation 1\r<BR>\n" );
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document.write( "3x - 9y = 3\r<BR>\n" );
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document.write( "3(1) - 9y = 3\r<BR>\n" );
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document.write( "3 - 9y = 3\r<BR>\n" );
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document.write( "Add 9y to each side of the equation.\r<BR>\n" );
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document.write( "3 - 9y + 9y = 3 + 9y\r<BR>\n" );
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document.write( "3 = 3 + 9y\r<BR>\n" );
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document.write( "Subtract 3 from each side of the equation.\r<BR>\n" );
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document.write( "3 - 3 = 3 + 9y - 3\r<BR>\n" );
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document.write( "0 = 9y or\r<BR>\n" );
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document.write( "9y = 0\r<BR>\n" );
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document.write( "Therefore:\r<BR>\n" );
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document.write( "y = 0\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "x = 1 and\r<BR>\n" );
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document.write( "y = 0\r<BR>\n" );
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document.write( "Lennox Obuong<BR>\n" );
document.write( "Algebra Tutor<BR>\n" );
document.write( "Nairobi, Kenya\r<BR>\n" );
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document.write( " </SPAN>\n" );
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