|
Algebraic Calculator
for Three Unknowns AX+BY+KZ=M, DX+EY+FZ=N, GX+HY+JZ=W |
|
|
|
Error
checking and input boxes for AX+BY+KZ = M |
|
|
|
Accuracy % |
|
A= |
|
X + |
|
|
Error % |
|
B= |
|
Y + |
|
|
|
AX+BY+KZ = |
|
K= |
|
Z + |
|
|
(AX+BY+KZ) - M = |
|
M= |
|
= M |
|
|
|
|
|
|
|
|
Z = |
|
|
|
Above, right is a representation of the
equation you entered. If an equation has numbers with more than four |
|
|
digits, look at the vertical
representation of the equation, (right side of input boxes, blue numbers
and letters) |
|
|
Error checking and input boxes for DX+EY+FZ = N |
|
|
Accuracy % |
|
D= |
|
X + |
|
|
Error % |
|
E= |
|
Y + |
|
|
DX+EY+FZ = |
|
F= |
|
Z + |
|
|
(DX+EY+FZ) - N = |
|
N= |
|
= N |
|
|
|
|
|
|
|
|
Z = |
|
|
|
Above, right is a representation of the
equation you entered. If an equation has numbers with more than four |
|
|
digits, look at the vertical
representation of the equation, (right side of input boxes, blue numbers
and letters) |
|
|
Error
checking and input boxes for GX+HY+JZ = W |
|
|
Accuracy % |
|
G = |
|
X + |
|
|
Error % |
|
H = |
|
Y + |
|
|
GX+HY+JZ = |
|
J = |
|
Z + |
|
|
(GX+HY+JZ) - W = |
|
W = |
|
= W |
|
|
|
|
|
|
|
|
Z = |
|
|
|
Above, right is a representation of the
equation you entered. If an equation has numbers with more than four |
|
|
digits, look at the vertical
representation of the equation, (right side of input boxes, blue numbers
and letters) |
|
|
The Multiple-Algebraic Calculator
has a number of error-checking devices (above and below). |
|
|
These devices check the
calculations and the numbers you entered to determine if they satisfy |
|
|
the equations. These devices
provide feedback in words or numbers. The calculations
for |
|
|
all of the error-checking devices are rounded to
|
|
decimal places. You can change
this, |
|
|
by deleting the blue number above,
and entering the number of decimal places you prefer. If you
enter a number that is too high you may get false indications of
errors. |
|
|
Note: The number of zeros displayed is not
affected by the blue number. |
|
|
|
|
|
The Calculated Results, for X, Y, and Z are
Displayed below |
|
|
( for AX+BY+KZ=M, DX+EY+FZ=N, GX+HY+JZ=W ) |
|
|
|
|
X = |
|
|
|
|
|
|
|
|
Y = |
|
|
|
|
|
|
|
|
|
Z = |
|
|
|
|
|
|
|
Spreadsheet formula for X is =(M-(B*Y+K*Z))/A
|
|
|
Spreadsheet formula for Y is
=(A*N+D*K*Z-A*F*Z-D*M)/(A*E-D*B) |
|
|
Spreadsheet formula for Z is |
|
|
=((A*E-D*B)*D*W-(A*E-D*B)*G*N-((D*H-G*E)*A*N)+(D*H-G*E)*D*M)/((D*H-G*E)*D*K-(D*H-G*E)*A*F-(A*E-D*B)*G*F+(A*E-D*B)*D*J)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Displayed below are calculated
values for X, Y and Z that |
|
|
have been rounded to specified number of
decimal places |
|
|
Calculated results on this list are rounded
to |
|
decimal places. You can change
this, |
|
|
by deleting the blue number above,
and entering the number of decimal places you prefer. |
|
|
|
|
|
X = |
|
|
|
|
|
|
|
|
|
Y = |
|
|
|
|
|
|
|
|
|
Z = |
|
|
|
|
|
|
CREATED BY: David@TechForText.com
©2010 To contact the author use the email address on the
left. |
|