8th Grade & 7th Grade Accelerated - Solutions to Systems

Front

What is the solution (x, y) to a system of equations?

Back

The point where the equations intersect.

Front

What does it mean if two lines in a system of equations intersect?

Back

There is one unique solution to the system.

Front

What is the solution to the system of equations if the lines are the same?

Back

Infinitely many solutions.

Front

What does it mean if two lines in a system of equations are parallel?

Back

There is no solution to the system.

Front

If a system of linear equations has one solution, what do the lines look like?

Back

They are intersecting lines.

Front

If a system of linear equations has infinitely many solutions, what do the lines look like?

Back

They are the same line.

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

Front

How can you find the solution to a system of equations graphically?

Back

By identifying the point where the lines intersect.

Front

What does it mean if the solution to a system of equations is (0, 2)?

Back

The lines intersect at the point where x=0 and y=2.

Front

What is a system of equations?

Back

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