Review A - Solving Systems of Equations

Front

What is a system of equations?

Back

A set of two or more 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.

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 solution of a system of equations graphically?

Back

By finding the point where the lines intersect.

Front

What is the graphical representation of parallel lines?

Back

Lines that run in the same direction but never meet.

Front

What is the graphical representation of intersecting lines?

Back

Lines that cross each other at one point.

Front

What is the graphical representation of coinciding lines?

Back

Lines that lie on top of each other, representing the same equation.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute it into the other equation.

Front

How do you solve a system of equations using elimination?

Back

Add or subtract equations to eliminate one variable.