19990401
4-1-2
Simultaneous Linear Equations
Example
To solve the following simultaneous linear equations for
x
,
y
, and
z
4
x
+
y
– 2
z
= – 1
x
+ 6
y
+ 3
z
= 1
– 5
x
+ 4
y
+
z
= – 7
Procedure
1
m
EQUA
2
1
(SIML)
2
(3)
3 e
w
b
w-
c
w-
b
w
b
w
g
w
d
w
b
w
-
f
w
e
w
b
w-
h
w
4
6
(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 (
x
1
,
x
2
,
x
3
) of a simultane-
ous linear equation with three unknowns.
x
1
a
1
b
1
c
1
–1
d
1
x
2
=
a
2
b
2
c
2
d
2
x
3
a
3
b
3
c
3
d
3
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.
Summary of Contents for ALGEBRA FX 2.0
Page 1: ... ALGEBRA FX 2 0 User s Guide ...
Page 19: ...19990401 ALGEBRA FX 2 0 ...
Page 26: ...19990401 1 1 Keys 1 1 1 Keys REPLAY COPY PASTE CAT CAL H COPY PRGM List Mat i ...
Page 122: ...19990401 ...
Page 280: ...19990401 ...
Page 310: ...19990401 ...
Page 358: ...19990401 8 8 2 Program Library egcw w ww w ...
Page 360: ...19990401 8 8 4 Program Library Example 1 Example 2 fw baw bf w fw baw ca w ...
Page 362: ...19990401 8 8 6 Program Library ...
Page 364: ...19990401 8 8 8 Program Library dw fcde wfcde wfcde fcde w daw w ...
Page 366: ...19990401 8 8 10 Program Library b awaw bwaw aw9d w ...
Page 423: ...19981001 MEMO ...
Page 424: ...19981001 MEMO ...
Page 425: ...19981001 MEMO ...