System of Linear/Quadratic Equations

Front

What is a system of linear equations?

Back

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

Front

What does it mean if a system of equations has one solution?

Back

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

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

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

Back

The lines coincide, meaning they are the same line.

Front

How can you determine the number of solutions in a linear-quadratic system?

Back

By graphing the equations and observing the points of intersection.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the graphical representation of a quadratic equation?

Back

A parabola on a coordinate plane.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for a variable and substituting it into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate a variable.

Front

What is the point of intersection in a system of equations?

Back

The point where the graphs of the equations meet, representing the solution.