
CREATED BY: David@TechForText.com
©2010 To contact the author use the email address on the
left. 


Instructions for The Algebraic Calculator for
Three Unknowns 


AX+BY+KZ=M, DX+EY+FZ=N, GX+HY+JZ=W 


The Algebraic Calculator for Three
Unknowns solves the three equations presented above, for
X, Y, and Z. If the equations you want to solve do not look
like the above, try to algebraically rearrange them to make them similar
to the three equations on top of this page. Then enter
numbers for A, B, K, M, D, E, F, N, G, H, J, and W in the twelve white
input boxes below. Before entering or deleting numbers, left
click with the mouse on the relevant white input box. For calculated
results left click on the background. With the JavaScript version you can
also press the calculation button, and with the spreadsheet version you
can press the enter key. 


Note: If less than 12 numbers are entered this
Calculator will NOT function. All twelve input boxes must
contain numbers entered by the user. While entering numbers,
you may see error messages, which will stop when all the white input boxes
have numbers. 


Note for the errorchecking devices, which are
on the left of the white input boxes. An accuracy readout of
100% and an error readout of 0.00% is perfect. An accuracy
readout of less than or greater than 100% or an error readout less than or
greater than 0.00% indicates some degree of error, which maybe
insignificant if it is less than 1%. Indications of
inaccuracy, or any type of error message, usually relate to the numbers
entered by the user. This can involve numbers that do not
satisfy the equations, calculations that exceed 300 digits, or there are
one or more white input boxes without numbers. (Very large
and very small numbers are presented in scientific notation.) 



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 MultipleAlgebraic Calculator
has a number of errorchecking 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 errorchecking 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*ZA*F*ZD*M)/(A*ED*B) 


Spreadsheet formula for Z is 


=((A*ED*B)*D*W(A*ED*B)*G*N((D*HG*E)*A*N)+(D*HG*E)*D*M)/((D*HG*E)*D*K(D*HG*E)*A*F(A*ED*B)*G*F+(A*ED*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. 
