Solving Systems by Elimination

Flashcards covering the step-by-step instructions for solving linear systems by elimination.

Standard/Aligned Form

The form of a linear equation written as $Ax + By = C$.

Step 1 in Solving Systems by Elimination

Write both equations in Standard/Aligned Form ($Ax + By = C$).

Step 2 in Solving Systems by Elimination

Multiply one or both equations by numbers so that the coefficients of one variable ($x$ or $y$) are either identical or exact opposites.

Step 3 in Solving Systems by Elimination

Add the equations together if coefficients are opposites, or subtract them if coefficients are identical, to eliminate that variable.

Step 4 in Solving Systems by Elimination

Solve for the remaining variable.

Step 5 in Solving Systems by Elimination

Substitute the found value back into either original equation to solve for the other variable.

Step 6 in Solving Systems by Elimination

State your point of intersection $(x, y)$.

Point of Intersection

The final solution $(x, y)$ resulting from solving a system of linear equations.