document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202288>Question 202288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HI, i cannot seem to find my mistakes in these three questions....can u plzz kindly solve these so i can see where i went wrong?\r<BR>\n" );
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document.write( "1) Is the ordered pair (- 2, - 5) a solution to the system of equations defined by 3x - 4y = 14 and 5x + 3y = - 25?  \r<BR>\n" );
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document.write( "2)Create a linear system of two equations that has no solution.\r<BR>\n" );
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document.write( "3)Part of a $5000 prize was invested at 6%, while the remainder was invested at 8%.  If the total interest received was $368, how much was invested at each rate?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152538 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=152538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Is the ordered pair (- 2, - 5) a solution to the system of equations defined by 3x - 4y = 14 and 5x + 3y = - 25? <BR>\n" );
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document.write( "If y = -5 when x = -2 you would get:<BR>\n" );
document.write( "3*-2 - 4*-5 = 14<BR>\n" );
document.write( "-6 + 20 = 14<BR>\n" );
document.write( "14 = 14<BR>\n" );
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document.write( "and<BR>\n" );
document.write( "5*-2 - 3*-5 = -25<BR>\n" );
document.write( "-10 + 15 = -25<BR>\n" );
document.write( "5 = -25\r<BR>\n" );
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document.write( "Answer: No<BR>\n" );
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document.write( "2)Create a linear system of two equations that has no solution. <BR>\n" );
document.write( "y = 2x + 3<BR>\n" );
document.write( "y = 2x + 5<BR>\n" );
document.write( "These are lines with the same slope and different y-intercepts.<BR>\n" );
document.write( "The lines are parallel so there is no solution.<BR>\n" );
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document.write( "3)Part of a $5000 prize was invested at 6%, while the remainder was invested at 8%. If the total interest received was $368, how much was invested at each rate? <BR>\n" );
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document.write( "interest + interest = interest<BR>\n" );
document.write( "0.06x + 0.08(5000-x) = 368<BR>\n" );
document.write( "6x + 8(5000-x) = 36800<BR>\n" );
document.write( "6x + 40000 - 9x = 36800<BR>\n" );
document.write( "-2x = -3200<BR>\n" );
document.write( "x = $1600.00 (amt. invested at 6%)<BR>\n" );
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document.write( "5000-x = 5000-3200 = $1800 (amt. invested at 8%)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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