20050401
4-1-2
Simultaneous Linear Equations
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Example To solve the following simultaneous linear equations for x, y, and z
4x + y –2z =– 1
x +6y +3z = 1
– 5x +4y + z =– 7
Procedure
1 m EQUA
2 1(SIML)
2(3)
3ewbw-cw-bw
bwgwdwbw
-fwewbw-hw
4 1(SOLV)
Result Screen
#Internal calculations are performed using a 15-
digit mantissa, but results are displayed using
a 10-digit mantissa and a 2-digit exponent.
#Simultaneous linear equations are solved by
inverting the matrix containing the coefficients
of the equations. For example, the following
shows the solution (
x1, x2, x3) of a simultane-
ous linear equation with three unknowns.
x1 a1 b1 c1
–1
d1
x2 = a2 b2 c2 d2
x3 a3 b3 c3 d3
Because of this, precision is reduced as the
value of the determinant approaches zero. Also,
simultaneous equations with three or more
unknowns may take a very long time to solve.
# An error occurs if the calculator is unable to find
a solution.
#After calculation is complete, you can press
1 (REPT), change coefficient values, and then
re-calculate.
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