How to solve r in linear regretion - Casio FX82ES Scientific Calculator

For two linear equations, one can use
comparison, substitution, or addition/combination.
For more linear equations one uses the Cramer Rule that involves matrices and their determinants.

Hi there,

You cannot solve linear equations on a SHARP EL531. If you would like a calculator that solves equations, you need to get a SHARP EL W506

If you keep not spelling out the TEXT of the problem, there is zero chance that you will get an answer, regardless of the number of posts you write. No one is a mind reader.

I do not think you can. However you can find a simple program in the users manual that solves a linear system in two unkowns. There may be other third party programs you might transfer to the calculator. Check the hpcalc.org website

Thhe Casio FX-9860G SD can solve a polynomial equation of degree 2 or 3 with REAL coefficients. If the complex MODE is set to REAL it will find the real roots. If the complex mode is set to a+ib, it will find the real and complex roots.

Apparently it will take coefficients that are real, and will give a Ma Error if any coefficient is complex.

Addendum.
The calculator CANNOT solve equations with complex coefficient. YOU can however convert the system of linear equations with ccomplex coefficients ( of the type you show) as a system of 4 linear equations in 4 unknowns; Split x into a real and an imaginary part, split y into a real and an imaginary part. Substitute Real(x)+iIm(x) for variable x in the equations; substitute Real(y)+iIm(y) for y in the two equations; do the algebra. In each of the original equations split the Real and imaginary parts. You should be able to derive 4 linear equations in unknowns Real(x), Im(x), Real(y), and Im(y).
Use the linear equation solver to obtain the solutions. Recompose x=Real(x)+iIm(x), and y=Real(y)+iIm(y)

Alternatively, after you create the system of 4 linear equations you can use the matrix utility to find Real(x), Im(x), Real(y) and Im(y) and recompose the x and y.

The absolutely-best, most-robust, software for solving systems of linear equations is the LINPACK software library.

It was originally written in FORTRAN.

But, see: http://www.greenecomputing.com/apps/linpack/

which indicates that a JAVA version exists.

Set Computational mode to EQN by pressing [MODE][5:EQN]

Select the type of equations you want to solve

Select the relevant otion and get ready to type in the coefficients (the a's, the b's, the c's etc`.)

For more general non-linear equations, use the SOLVE feature.

Hello,
To solve Ohm's law you need no sophisticated calculator. If you know two quantities, you readily calculate the third. Application of Kirchhoff's (two h) laws to linear circuits, gives you a linear system of equations. If a calculator can solve linear systems, or handles matrices, the limitations would pertain to the maximum dimension of the matrices.
I just tried the TI83 to define a 45x45 square matrix and a 55x45 matrix. The maximum number of rows or columns is 99. But it will depend on memory.
If you have the TI84PLUS Silver Edition it should be fine. You can upgrade to a TI 89 Platinum, which can handle symbolic calculations (with undefined coefficients a, b, c).
Hope it helps.

Hello,

Let us assume you have two simultaneous linear equations :

a_1*x+ b_1*y+c_1=0
a_2*x +b_2*y+c_2=0

where a_1, a_2, b_1, b_2, c_1,c_2 are coefficients (numerical or algebraic).
The problem is to obtain the particular values of the unknowns x and y for which the two equations are both satisfied: If you substitute the particular values of x and y you find in any of the two equations you discover that both equalities are true.

A small system of equations like the one above can be solved by some very simple algorithms (elimination, substitution, combination) which can be carried out by hand.

The solution of large systems of linear equations can be sought by making use of the concepts of matrices (plural of matrix), determinants, and certain rules called Cramer's rules.

Due to its repetitive nature, the algorithm ( a well defined, limited sequence of steps) is suitable for a calculating machine (computer or calculator).

Certain calculators have, embedded in their ROM, a program that solves linear systems of simultaneous equations. Usually you are asked to enter the values of the coefficients a_1, etc. in a set order, then you press ENTER or EXE (Casio) . If a solution exits (not all linear systems have solutions) the calculator displays it.

Hope that satisfies your curiosity.

2x-3 = 3-3(x + 3)