Systems of Equations: Substitution Method

A set of two or more equations with the same variables.

It means they have a common solution (x, y) that satisfies both equations.

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

It means the lines represented by the equations are parallel and never intersect.

Substitute the x and y values of the point into both equations; if both are true, it is a solution.

Solve one of the equations for one variable in terms of the other.

Set 2x + 3 = -x + 1 and solve for x.

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

(1, 0)