Systems of Equations

Front

What is a system of equations?

Back

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

Front

Can a system of equations use variables other than x and y?

Back

Yes, a system can use any letters as variables.

Front

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

Back

The system has one unique solution.

Front

What does it mean if two lines are parallel?

Back

The system has no solutions.

Front

What does it mean if two lines are the same line?

Back

The system has infinitely many solutions.

Front

How do you solve a system of equations graphically?

Back

By plotting the equations on a graph and finding the intersection point.

Front

What is substitution in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

What is elimination in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.

Front

If a system of equations has no solution, what can we say about the lines?

Back

The lines are parallel.

Front

If a system of equations has infinitely many solutions, what can we say about the lines?

Back

The lines are the same.