Simultaneous Linear Equations

Description

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

The app features elimination by Addition, by Addition/Subtraction and substitution methods.

Coefficients can be nonzero integers from -999 to 999 inclusive.

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

Elimination by Addition :

– Choose which variable to eliminate
– Decide how to make its coefficients opposites
– Manipulate equations to make its coefficients opposites
– Eliminate the variable by adding the equations
– Solve resulting equation for the other variable
– Back substitute into an original equation

Elimination by Addition/Subtraction :

– 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
– 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.

– 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