HA2 Linear Systems

A linear system is a collection of one or more linear equations involving the same variables.

It means that the equations represent parallel lines that never intersect.

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

By plotting the equations on a coordinate plane and finding the intersection points.

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

It is the solution to the system, meaning it satisfies all equations in the system.

Substitute (0,0) into each equation; if all equations are satisfied, then it is a solution.

The general form is Ax + By = C, where A, B, and C are constants.

Two lines are perpendicular if the product of their slopes is -1.