4-5: Solving Systems of Equations by Graphing

Front

The solution to a system of equations is any ordered pair that makes both equations true.

Back

TRUE

Front

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

Back

(1, 3)

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Front

Solve: y = 3x + 2 and 2y - x = 4

Back

(2, 8)

Front

HOW is a coordinate pair ordered?

Back

(x, y)

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have no points of intersection.

Front

What is the graphical representation of a system of equations?

Back

Two or more lines on a coordinate plane.

Front

If a system of equations has infinitely many solutions, what does that imply about the lines?

Back

The lines are coincident (they lie on top of each other).

Front

What is the first step in solving a system of equations by graphing?

Back

Graph each equation on the same coordinate plane.

Front

What does it mean if the lines intersect at a single point?

Back

The system has a unique solution.