
Barry Kissane
3 X 3 EQ
Purpose
Solving a set of three simultaneous linear equations, by entering only the coefficients of each.
Operation
The program reminds you of the form for the equations:
a11x + a12y + a13z = b1 a21x + a22y + a23z = b2 a31x + a32y + a33z = b3
You may have to rewrite your equations into this form before entering them. Input the twelve coefficients in the correct order, pressing ![]()
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after each.
If the coefficients are all integers, the result will be given as a fraction.
Test the program by finding the solutions to the system:
2x + 3y + z = 3 12y – 2x + 2z = 7 x – z + 4y = 11
The solution is x = 21/160, y = 1/160 and z = 87/32.
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