document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404144>Question 404144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> CRAMER RULE, ELIMIATION OR SUBSTITUTION METHOD, AND MATRICES PRACTICE PROBLEMS\r<BR>\n" );
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document.write( "1.   Solve the system using the elimination or substitution method. 5x - 2y = 2; -3x + y = -2   <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " (1, 1)  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " (-1, -3/2)  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " (2, 4)  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " (-2, 4)  <BR>\n" );
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document.write( "2.   Solve the system using the elimination or substitution method. x + 4y + z = -6; 3x - 2y - z = -10; 3y + 2z = 4   <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " (3, 2, -4)  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " (-3, -2, 5)  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " (1, 0, -2)  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " (-2, 4, -5)  <BR>\n" );
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document.write( "3.   Solve the system using matrices. x + 4y + 2z = -4; 2x - y - z = 10; 2x + 3y + 2z = 2   <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " (3, -2, -1)  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " (4, -2, 0)  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " (-2, 5, 3)  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " (1, -1, 3)  <BR>\n" );
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document.write( "4. Given the cost function C(x) = 2700 + 31x and the revenue function R(x) = 49x, find the number of units that must be old to break even.   <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " 150 units  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " 270 units  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " 220 units  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " 310 units <BR>\n" );
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document.write( "5.   Solve the system using matrices. x - y = 1; -8x + 6y = 4   <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " (-5, -6)  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " (2, 1)  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " (-2, -1)  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " (6, 5)  <BR>\n" );
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document.write( "6.   Solve the sysyem using Cramer's Rule. 2x - 3y = -13; 7x - 6y = -5   <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " (2, 3)  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " (7, 9)  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " (-5, -6)  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " (-8, -1)  <BR>\n" );
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document.write( "7.   Solve the system using matrices. 2x - 8y = 12; x - 4y = -3   <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " (2, -1)  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " (-3, 0)  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " No Solution  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " Infinitely many solutions  <BR>\n" );
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document.write( "8.   Solve the system using the elimination or substitution method. x + 2y - 3z = 9; -x + 3y - 2z = 1; 2x - 5y + 2z = 2   <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " (1, -3, 2)  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " (0, 3, -2)  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " (6, 3, 1)  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " (3, 0, -2)  <BR>\n" );
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document.write( "9.   Solve the system using the elimination or substitution method. 14x - 7y = -7; 7x + y = 10   <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " (1, 3)  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " (1, 1)  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " (-1, -2)  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " No solution  <BR>\n" );
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document.write( "10.   Solve the system using Cramer's rule. 2x + 8y = 11; 8x + 5y = -10   <BR>\n" );
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document.write( " A.   <BR>\n" );
document.write( " (-3/2, 3)  <BR>\n" );
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document.write( " B.   <BR>\n" );
document.write( " (-2, 3/2)  <BR>\n" );
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document.write( " C.   <BR>\n" );
document.write( " (-5/2, 2)  <BR>\n" );
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document.write( " D.   <BR>\n" );
document.write( " (2, 7/8)  <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 #285656 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One problem per post, please. I recommend you re-read your textbook for examples on how to do each problem. </SPAN>\n" );
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