Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the elimination method?

Back

A technique for solving systems of equations by removing one variable, making it easier to solve for the other.

Front

When using elimination, what do you do if the coefficients of one variable are the same?

Back

You can add or subtract the equations to eliminate that variable.

Front

What happens if the two equations in a system represent parallel lines?

Back

There is no solution, as parallel lines never intersect.

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

How do you determine which variable to eliminate first?

Back

Look for the variable with coefficients that can easily be made the same or opposite.

Front

Solve using elimination: 3x + 2y = 12 and 3x - 4y = 6. What is the solution?

Back

(2, 3)