document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281309>Question 281309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trying to help my duaghter with the folowing problem.\r<BR>\n" );
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document.write( "one side will be  5x+y = 7  the other side is  3x-4y=18  We need to slove for x and y.\r<BR>\n" );
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document.write( "Thanks for any help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204329 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=204329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Trying to help my duaghter with the folowing problem. <BR>\n" );
document.write( "one side will be 5x+y = 7 <BR>\n" );
document.write( "the other side is 3x-4y=18 We need to solve for x and y.<BR>\n" );
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document.write( "5x+y = 7<BR>\n" );
document.write( "3x-4y = 18<BR>\n" );
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document.write( "Two popular methods for solvin \"systems\" of equations<BR>\n" );
document.write( "are substitution and elimination.<BR>\n" );
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document.write( "I'll show you both ways since your daughter may not have<BR>\n" );
document.write( "been introduced to one or the other.<BR>\n" );
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document.write( "Substitution:<BR>\n" );
document.write( "5x+y = 7<BR>\n" );
document.write( "3x-4y = 18<BR>\n" );
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document.write( "Solve the 1st equation for \"y\":<BR>\n" );
document.write( "y = -5x+7<BR>\n" );
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document.write( "Substitute for \"y\" in the 2nd equation:<BR>\n" );
document.write( "3x - 4(-5x+7) = 18<BR>\n" );
document.write( "3x + 20x - 28 = 18<BR>\n" );
document.write( "23x - 28 = 18<BR>\n" );
document.write( "23x = 46<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "Subtitute for x in the equation y = -5x+7<BR>\n" );
document.write( "y = -5(2)+7<BR>\n" );
document.write( "y = -10+7<BR>\n" );
document.write( "y = -3<BR>\n" );
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document.write( "Final Answer: (2,-3)<BR>\n" );
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document.write( "Elimination:<BR>\n" );
document.write( "5x+y = 7<BR>\n" );
document.write( "3x-4y = 18<BR>\n" );
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document.write( "Multiply both sides of the 1st equation by 4 to get:<BR>\n" );
document.write( "20x + 4y = 28<BR>\n" );
document.write( "3x - 4y = 18<BR>\n" );
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document.write( "Add to get:<BR>\n" );
document.write( "23x = 46<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "Substitute that value of \"x\" into either of the <BR>\n" );
document.write( "original equations and solve for \"y\":<BR>\n" );
document.write( "5x+y = 7<BR>\n" );
document.write( "5*2+y = 7<BR>\n" );
document.write( "10+y = 7<BR>\n" );
document.write( "y = -3<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Final Answer: (2,-3)<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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