Simultaneous Equations Elimination Flashcards

A set of two or more equations with two or more variables that are solved together to find a common solution.

A method for solving simultaneous equations by adding or subtracting the equations to eliminate one variable.

Write the equations in standard form, aligning the variables and constants.

Multiply one or both equations so that the coefficients of one variable are the same (or opposites).

Add or subtract the equations to eliminate one variable, leaving an equation with one variable.

Solve the resulting equation to find the value of the remaining variable.

Substitute the value of the solved variable into one of the original equations to find the other variable.

Substitute both values into the original equations to ensure they satisfy both equations.

Add the equations if the coefficients of the variable to eliminate are opposites (e.g., +3x and -3x).

Subtract the equations if the coefficients of the variable to eliminate are the same (e.g., +4y and +4y).