Classifying Solutions to Linear Systems of Equations

Front

The solution to a system of equations is...

Back

The ordered pair that makes BOTH equations true.

Front

What is the solution to the system of equations: y = -x + 5 and y = 2x - 7?

Back

(1, -1)

Front

Which of the following graphs has infinitely many solutions?

Back

Two lines that overlap completely.

Front

Determine the number of solutions for the system: y = -x + 5 and y = 2x - 7.

Back

One solution.

Front

Determine the number of solutions for the system: y = 6x + 3 and y = 6x + 3.

Back

Infinitely Many Solutions.

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of infinitely many solutions?

Back

Two identical lines on the same graph.

Front

How can you determine if a system of equations has no solution?

Back

If the slopes are the same but the y-intercepts are different.

Front

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

Back

3.