document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179472>Question 179472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Will you please help. My thought process is to multiply the first equation by 3. That will cancel the problem out to 0. Please help! \r<BR>\n" );
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document.write( "Solve by substitution or elimination method: \r<BR>\n" );
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document.write( "4x-5y=14<BR>\n" );
document.write( "-12x+15y=-42\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134411 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=134411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by substitution or elimination method: <BR>\n" );
document.write( "4x-5y=14<BR>\n" );
document.write( "-12x+15y=-42 <BR>\n" );
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document.write( "Multiply 1st by 3 to get:<BR>\n" );
document.write( "12x - 15y = 42<BR>\n" );
document.write( "-12x+ 15y = -42<BR>\n" );
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document.write( "Important thought: IF you assume the x's and the y's are respectively<BR>\n" );
document.write( "the same, you may add the two equations to get:<BR>\n" );
document.write( "0 = 0<BR>\n" );
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document.write( "Now, 0=0 is a true statement.<BR>\n" );
document.write( "So, your assumption was correct; the x's and the y's are respectively the same.<BR>\n" );
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document.write( "So x may have any value; then y = (12/15)x - (42/15)<BR>\n" );
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document.write( "What does that say about the SYSTEM of two equations?<BR>\n" );
document.write( "It says one is the multiple of the other; they are essentially the same.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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