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Casio fx-CG50 field manual for IB Math

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10

Solving 3×3 equations

All courses

Solve a linear system with a unique solution using the calculator's dedicated solver (TI-84 PlySmlt2, Nspire linSolve, Casio EQUA).

Goal

Solve the system ​x+z=5,  ​2x−y+3z=12, and ​−x+4y+z=5.

1

From the MAIN MENU, open Equation. If you're already inside another app, press first to get back to MAIN MENU.

2

Press (SIMUL) for simultaneous equations. On the next screen, pick the number of unknowns with the F-keys: press for 3 unknowns. The Casio opens a coefficient grid, one row per equation, with columns a, b, c (the coefficients) and d (the constant).

3

Enter each equation's coefficients of ​x,  ​y,  ​z​ followed by the constant, pressing after each value. The missing ​y​ term in the first equation is a 0: row 1 is 1, 0, 1, 5, row 2 is 2, -1, 3, 12, and row 3 is -1, 4, 1, 5. Use for the negative coefficients.

RadNorm2
d/cReal
aₙX + bₙY + cₙZ = dₙ
abcd
11015
22-1312
3-1415
SOLVEDELETECLEAREDIT
4

Press (SOLVE). The Casio solves the system and lists the unknowns.

RadNorm2
d/cReal
X=2
Y=1
Z=3
REPEAT
Result

​x=2,  ​y=1, and ​z=3.

Your turn

Work each one on your calculator, then check the answer.

  1. 1

    Solve the system ​2x+z=8,  ​x−y+2z=8,  ​3x+2y−z=5.

  2. 2

    Solve the system ​x+y+2z=4,  ​3y−z=11,  ​2x−y+z=−7.

  3. 3

    Solve the system ​4x−y+z=0,  ​x+3z=−5,  ​2x+y−z=6.