Systems of Linear Equations

Front

The solution of a system of linear equations is...

Back

the intersection of the two equations on a graph.

Front

If a system of equations has no solution, what does the graph look like?

Back

parallel lines.

Front

What is the solution of the system of equations: 2x + 3y = 1 and x - y = 2?

Back

(1, -1).

Front

Solve the following system by substitution: x + y = -1 and x - y = 3. What is the solution?

Back

(-2, 1).

Front

When you graph the exact same equation twice, what do you get?

Back

you will have infinite solutions.

Front

What does it mean if two lines intersect at one point?

Back

The system of equations has one unique solution.

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 two lines are parallel?

Back

The system of equations has no solution.

Front

What is the graphical representation of a system of equations with infinite solutions?

Back

The lines overlap completely.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel and never intersect.