# Difference between revisions of "Manuals/calci/LINEAREQUATION"

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− | + | <div style="font-size:30px">'''LINEAREQUATION (EquationArray)'''</div><br/> | |

+ | *<math>EquationArray</math> is the set of values. | ||

+ | |||

+ | ==Description== | ||

+ | *This function shows the solution for the Linear equation with two variables. | ||

+ | *In <math>LINEAREQUATION (EquationArray)</math>,<math>EquationArray</math> is the set values for two equations. | ||

+ | *If a ,b and r are real numbers also a and b are not equal to 0,then ax+by=r is called a linear equation in two variables. | ||

+ | *Here x and y are two variables. | ||

+ | *The numbers a and b are called the coefficients of the equation. | ||

+ | *Also the number r is called the constant. | ||

+ | *There are three ways to solve the linear equation: | ||

+ | 1. Graphing method. | ||

+ | 2. Substitution method. | ||

+ | 3.elimination by addition method. | ||

+ | *This function will return the result as Error when the given parameters are non numeric. | ||

+ | |||

+ | ==Examples== | ||

+ | #LINEAREQUATION([[1,1,5],[1,-1,3]]) = 4 1 | ||

+ | #LINEAREQUATION([[5,2,4],[-2,1,11]]) = -2 7 | ||

+ | #LINEAREQUATION([[7,-3,4],[10,6,-11]]) = -0.125 -1.625 | ||

+ | |||

+ | ==See Also== | ||

+ | *[[Manuals/calci/FRACTION| FRACTION]] | ||

+ | *[[Manuals/calci/INTDIV| INTDIV]] | ||

+ | *[[Z_API_Functions | List of Main Z Functions]] | ||

+ | *[[ Z3 | Z3 home ] | ||

+ | |||

+ | ==References== | ||

+ | [https://www.math.utah.edu/~wortman/1050-text-leitv.pdf Linear Equation] | ||

+ | |||

+ | *[[Z_API_Functions | List of Main Z Functions]] | ||

+ | *[[ Z3 | Z3 home ] |

## Revision as of 14:45, 29 March 2017

**LINEAREQUATION (EquationArray)**

- is the set of values.

## Description

- This function shows the solution for the Linear equation with two variables.
- In , is the set values for two equations.
- If a ,b and r are real numbers also a and b are not equal to 0,then ax+by=r is called a linear equation in two variables.
- Here x and y are two variables.
- The numbers a and b are called the coefficients of the equation.
- Also the number r is called the constant.
- There are three ways to solve the linear equation:

1. Graphing method. 2. Substitution method. 3.elimination by addition method.

- This function will return the result as Error when the given parameters are non numeric.

## Examples

- LINEAREQUATION([[1,1,5],[1,-1,3]]) = 4 1
- LINEAREQUATION([[5,2,4],[-2,1,11]]) = -2 7
- LINEAREQUATION([[7,-3,4],[10,6,-11]]) = -0.125 -1.625

## See Also

- FRACTION
- INTDIV
- List of Main Z Functions
- [[Z3 | Z3 home ]

## References

- List of Main Z Functions
- [[Z3 | Z3 home ]