Solve Systems by Inspection

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system by inspection?

Back

To find the solution by substituting values directly into the equations.

Front

What is the solution to a system of equations?

Back

The point where the equations intersect, representing the values of the variables that satisfy all equations.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane.

Front

What does it mean if a system has no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system has infinitely many solutions?

Back

The equations represent the same line, so there are countless points of intersection.

Front

How can you check if an ordered pair is a solution to a system?

Back

Substitute the values of the ordered pair into each equation to see if they hold true.

Front

What is the graphical representation of a system of equations?

Back

The graphs of the equations plotted on a coordinate plane.

Front

What is the significance of the intersection point of two lines?

Back

It represents the solution to the system of equations.

Front

What does it mean for a system to have one solution?

Back

The lines intersect at exactly one point, indicating a unique solution.