Solving Systems of Equations by Substitution and Elimination

A set of two or more equations with the same variables that are solved together.

It means that the solution (x, y) is the point where both equations are true.

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

It means that the equations represent the same line, and every point on that line is a solution.

If the equations represent parallel lines, they will never intersect, indicating no solution.

Get both equations in standard form and line up the like terms.

Rearrange the equation to the form y = mx + b, where m is the slope and b is the y-intercept.

Ax + By = C, where A, B, and C are integers, and A should be non-negative.

To easily add or subtract the equations to eliminate one variable.