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Four Simultaneous Linear Equations
Automated Intelligent (AI) Formula



by Apolinario "Sam" Ortega, updated 3/4/2024
founder IN-V-BAT-AI


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To solve for the value of 4 x 4 determinant only simply change all the constant value to zero (0).

Equation 1

X + Y +

Z + W =

Equation 2

X + Y +

Z + W =

Equation 3

X + Y +

Z + W =

Equation 4

X + Y +

Z + W =





Answer, X = detX =

Answer, Y = detY =

Answer, Z = detZ =

Answer, W = detW =

determinant 4 x 4 =

Make sure to validate your answer by doing back substitution to the given equations. For example substitute the value of x = 2.32 ; y = -6.46; z = -2.43; w = 2.00 back to the original equation. If both sides of the equations are equal then you know for sure that the answer is correct. The reason is the algorithm uses Cramer's Rule and sometimes the answer is not correct.

How is this automatic calculator becomes possible - see the hand calculation method using Gaussian elimination method

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