Solving Systems

Front

What is the solution to a system of equations?

Back

An ordered pair that makes both equations true.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What is the graphical representation of a system of equations?

Back

Two or more lines on a coordinate plane.

Front

What does it indicate if two lines intersect at one point?

Back

The system has one unique solution.

Front

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

Back

(1, 3)

Front

What is the slope of parallel lines?

Back

They have the same slope.

Front

What is the y-intercept of the equation y = 3x + 2?

Back

2

Front

How can you determine if a system has infinitely many solutions?

Back

If the equations represent the same line.

Front

What is the solution to the system: 2x + 3y = 6 and x - y = 1?

Back

(3, 0)

Front

What does it mean if two lines have different slopes?

Back

They will intersect at one point, indicating a unique solution.