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 to solve a system of equations?

Back

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

Front

What is the graphical representation of a system of equations?

Back

The lines of the equations plotted on a coordinate plane.

Front

What does it mean if two lines intersect on a graph?

Back

The system of equations has one unique solution.

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solutions.

Front

What does it mean if two lines are coincident?

Back

The system of equations has infinitely many solutions.

Front

How can you solve a system of equations by substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis (x=0).

Front

What is the point of intersection of two lines?

Back

The coordinates (x, y) that satisfy both equations in the system.