Simultaneous Linear Equations

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