3.2.2 Solve Systems by Graphing

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 by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is the solution to the system: y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

What is the solution to the system: 2x - 3y = 6 and y = -x + 3?

Back

(3, 0)

Front

What does it mean if a system of equations has no solution?

Back

It means the lines are parallel and never intersect.

Front

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

Back

Parallel lines.

Front

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

Back

No solution.

Front

What is the solution to the system: y = -x + 4 and y = 2x - 2?

Back

(2, 2)