Solutions to Systems of Equations

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines intersect at one point.

Front

How many solutions does a system of equations have if the lines are parallel?

Back

No Solution.

Front

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

Back

The two lines are the same line.

Front

What does it mean if two lines have the same slope but different y-intercepts?

Back

The system has no solution; the lines are parallel.

Front

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

Back

No Solution.

Front

If a system of equations has infinitely many solutions, what can be said about the equations?

Back

The equations are equivalent.

Front

What is the solution to the system of equations represented by the lines y = 3x + 2 and y = -x + 4?

Back

(1, 5).

Front

What does it mean if a system of equations has two solutions?

Back

This is not possible for linear equations; they can have one, none, or infinitely many solutions.

Front

What is the slope of a line represented by the equation y = 4x + 5?

Back

4.

Front

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

Back

3.