I am working simultaneous equations use matrices. My solution appears in fraction format when I need them to be in decimal form. Using it to do mesh analysis in circuits

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Posted on Jan 02, 2017

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.

comparison, substitution, or addition/combination.

For more linear equations one uses the Cramer Rule that involves matrices and their determinants.

Sep 16, 2014 | Office Equipment & Supplies

A system of equations is called thus, because all equations describe a common situation. So all conditions expressed by the inequalities must be satisfied (obeyed) simultaneously.

Jul 08, 2013 | Mathsoft Computers & Internet

The FX-901 calculator seems to be the equivalent of the FX 260 Solar sold in North America. It does fraction calculations, permutation, statistics but lack the Equation Solver.

You cannot use it to solve equations.

Casio Scientific calculators that can handle equation solving are the FX-115 and FX-991.

Simplify your first equation by dividing all its terms by 3, then use elimination to carry out the solution by hand.

You cannot use it to solve equations.

Casio Scientific calculators that can handle equation solving are the FX-115 and FX-991.

Simplify your first equation by dividing all its terms by 3, then use elimination to carry out the solution by hand.

Sep 02, 2012 | Office Equipment & Supplies

The simultaneous equation solver requires the coefficients to be real. Similarly matrices must have real coefficients.

Your only alternative is to express each of A and B as a real part and imaginary part.

A= x1+iy1

B=x2+iy2.

Substitute x1+iy1 for A in the two equations. Substitute x2+iy2 for B in the two equations. Do the algebra. Gather real parts and gather imaginary parts. Split each original equation into two equations: One equation comes from setting Real Part of left side = real part of right side (1); the other equations comes from setting the imaginary part of left side= imaginary part of right side (here 0).

Do the same procedure for the 2nd original equation.

At the end of the process you will have 4 coupled linear equations in the 4 unknowns (x1,y1,x2,y2).

Then you might want to use the calculator to solve the derived system. Once you have x1,y1,x2,y2 you reconstruct A=x1+iy1, etc.

Your only alternative is to express each of A and B as a real part and imaginary part.

A= x1+iy1

B=x2+iy2.

Substitute x1+iy1 for A in the two equations. Substitute x2+iy2 for B in the two equations. Do the algebra. Gather real parts and gather imaginary parts. Split each original equation into two equations: One equation comes from setting Real Part of left side = real part of right side (1); the other equations comes from setting the imaginary part of left side= imaginary part of right side (here 0).

Do the same procedure for the 2nd original equation.

At the end of the process you will have 4 coupled linear equations in the 4 unknowns (x1,y1,x2,y2).

Then you might want to use the calculator to solve the derived system. Once you have x1,y1,x2,y2 you reconstruct A=x1+iy1, etc.

Aug 29, 2011 | Casio FX-9860G Graphic Calculator

Select the EQN computational mode 5:EQN

For system of linear equations in 3 unknowns select 2: in the screen below.

Arrange the variables in your equations in the same order (x first, y second, and z third).

The coefficients to enter in the editor are the factors of the variables: In your case a_1=10, b_1=-3, c_1=10, d_1=5, a_2=8, b_2=-2, c_2=9, d_2=3; a_3=8, b_3=1, c_3=-10, d_3=7.

To enter d_1, d_2, and d_3 you will have to scroll to the right to reach the cells where they should go.

Once finished entering the coefficients, press EXE to get the solutions. You may have to use the arrow Down to display the y- and z-solutions.

I verified that the matrix is non-singular and the system has a solution. In fraction form

x=27/53, y=-1 and 22/53; finally z=-23/53

For system of linear equations in 3 unknowns select 2: in the screen below.

Arrange the variables in your equations in the same order (x first, y second, and z third).

The coefficients to enter in the editor are the factors of the variables: In your case a_1=10, b_1=-3, c_1=10, d_1=5, a_2=8, b_2=-2, c_2=9, d_2=3; a_3=8, b_3=1, c_3=-10, d_3=7.

To enter d_1, d_2, and d_3 you will have to scroll to the right to reach the cells where they should go.

Once finished entering the coefficients, press EXE to get the solutions. You may have to use the arrow Down to display the y- and z-solutions.

I verified that the matrix is non-singular and the system has a solution. In fraction form

x=27/53, y=-1 and 22/53; finally z=-23/53

Jun 29, 2011 | Casio FX-115ES Scientific Calculator

This calculator cannot handle matrices that have anyone dimension larger than 3.

How to solve your problem?

use a computer program devoted to solving linear equations

OR buy another calculator that can handle larger systems of equations (a graphing calculator, maybe).

How to solve your problem?

- Set up the problem by hand (pencil paper): use Cramer's rules. Make use of the calculator to perform the various calculation.

- Sacrifice one equation which you will use to eliminate one variable of the 4 by expressing it in terms of the other three. Do the algebra to obtain a system of 3 equations in three unknowns.
- Use the calculator to find the solutions ( the three variables that are left).
- Use the 4th equation (the one you scacrificed) to obtain the value of the 4th unknown.

use a computer program devoted to solving linear equations

OR buy another calculator that can handle larger systems of equations (a graphing calculator, maybe).

Feb 16, 2011 | Casio FX-115ES Scientific Calculator

Yes. Since there's far too much material for a single post, please refer to the chapter "Matrices" in the Guidebook. If you've misplaced your guidebook, you can download a new one from http://education.ti.com

Apr 28, 2010 | Texas Instruments TI-83 Plus Calculator

I assume you want to solve a linear system of three equations i three unknowns (x,y,z).

- Turn calculator ON.
- If you do not see icons, press [MENU] key.
- Use arrows to move focus to [EQUA] and press [EXE]
- In new screen select F1: Simultaneous
- Select the numbewr of unknows (in your case 3): Press [F2:3]
- A table opens: it has 3 rows and 4 columns
- Enter the coefficients in first equation on first line (a1, b1,c1) and the constant term d1.
- Enter the other coefficients and the constant terms at the right places, pressing [EXE] after each entry.
- When finished coefficients and constant terms, press [F1:Solv]
- The solution vector (X,Y,Z) is displayed on next screen.
- Note: if the coefficients are integers, it is possible that the solution vector will be displayed as mixed fractions (exact solutions),
- If not, the solution vector will be in decimal format.

Mar 02, 2010 | Casio FX-9750GPlus Calculator

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.

Let us assume you have two simultaneous linear equations :

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.

Aug 12, 2009 | Sharp EL-531VB Calculator

i don't no

Mar 07, 2009 | Sharp EL-520WBBK Calculator

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