System 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 two equations have the same slope but different y-intercepts?

Back

They are parallel and have no solution.

Front

What is the solution of a system of equations?

Back

The point where the graphs of the equations intersect.

Front

What does it indicate if two equations are exactly the same?

Back

There are infinitely many solutions.

Front

What is the graphical method of solving a system of equations?

Back

Finding the intersection point of the lines representing the equations.

Front

What is the result of solving the system: 2x + 3y = 6 and 4x + 6y = 12?

Back

Infinitely many solutions.

Front

What is the result of solving the system: x + y = 5 and x + y = 10?

Back

No solution.

Front

What does it mean if a system of equations has one unique solution?

Back

The lines intersect at exactly one point.

Front

How can you determine if a system of equations is consistent?

Back

If it has at least one solution.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.