Solving a System of Equations 1

Front

What does it mean for a point to be a solution to a system of equations?

Back

The (x,y) coordinates satisfy both equations.

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

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

Back

(1,3)

Front

How many solutions does a system of equations with parallel lines have?

Back

No solution.

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 lines intersect at a point on a graph?

Back

The system has one unique solution.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The same line graphed multiple times.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.