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Simultaneous Linear Equations

價格:免費

更新日期:2019-01-21

檔案大小:14.8 MB

目前版本:4.3

版本需求:需要 iOS 11.0 或以上版本。與 iPhone、iPad 及 iPod touch 相容。

支援語言:英語

Simultaneous Linear Equations(圖1)-速報App

A power learning aid combining Coaching Calculators and Guides to take you step-by-step through the solving of a pair of simultaneous linear equations.

The app features the addition method, the elimination method and the substitution method.

Coefficients can be nonzero integers from -99 to 99 inclusive.

You develop skills quickly as you work with the calculator and see each step of the process in detail :

Simultaneous Linear Equations(圖2)-速報App

Addition method :

- Choose which variable to eliminate

- Decide how to make its coefficients opposites

- Manipulate equations to make its coefficients opposites

Simultaneous Linear Equations(圖3)-速報App

- Eliminate the variable by adding the equations

- Solve resulting equation for the other variable

- Back substitute into an original equation

Elimination method :

Simultaneous Linear Equations(圖4)-速報App

- Choose which variable to eliminate

- Decide how to make its coefficients the same (absolute value)

- Manipulate equations appropriately

- Eliminate the variable by adding/subtracting equations

Simultaneous Linear Equations(圖5)-速報App

- Solve resulting equation for the other variable

- Back substitute into an original equation

Substitution method :

The steps if you start by solving first equation to express x in terms of y are shown here.

Simultaneous Linear Equations(圖6)-速報App

- Solve first equation to express x in terms of y

- Substitute x in second equation and solve for y

- Substitute y solution back into rearranged first equation

- Solve resulting equation for x

Simultaneous Linear Equations(圖7)-速報App

Note that the Coaching Calculator shows the steps if you start by solving x or y from either equation.

Simultaneous Linear Equations(圖8)-速報App

支援平台:iPhone, iPad