document.write( "Question 33348This question is from textbook algebra for college students
\n" ); document.write( ": I need to solve this system of linear equations and I am having a hard time. Please help. \r
\n" ); document.write( "\n" ); document.write( "x-3y+2z =-11
\n" ); document.write( "2x-4y+3z =-15
\n" ); document.write( "3x-5y-4z =5 \n" ); document.write( "
Algebra.Com's Answer #19733 by mukhopadhyay(490)\"\" \"About 
You can put this solution on YOUR website!
There are many ways to solve such equations. You can either use substitution, or elimination, or Cramer's Rule to solve this.
\n" ); document.write( "I would Use Cramer's Rule to do so:
\n" ); document.write( "D = Determinant of [(1,-3,2);(2,-4,3);(3,-5,-4)] = 1(31)-2(22)+3(-1) = -16;
\n" ); document.write( "D(x) = Determinant of [(-11,-3,2);(-15,-4,3);(5,-5,-4)]
\n" ); document.write( "= -11(31)+15(22)+5(-1) = -341+330-5 = -16;
\n" ); document.write( "D(y) = Determinant of [(1,-11,2);(2,-15,3);(3,5,-4)]
\n" ); document.write( "= 1(45)-2(34)+3(-3) = 45-68-9 = -32;
\n" ); document.write( "D(z) = Determinant of [(1,-3,-11);(2,-4,-15);(3,-5,5)]
\n" ); document.write( "= 1(-95)-2(-70)+3(1) = -95+140+3 = 48;
\n" ); document.write( "x = D(x)/D = -16/-16 = 1;
\n" ); document.write( "y = D(y)/D = -32/-16 = 2;
\n" ); document.write( "z = D(z)/D = 48/-16 = -3;
\n" ); document.write( "Answer: (x,y,z) = (1,2,-3) \n" ); document.write( "
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