Solving Systems by Graphing and Substitution

Front

What does it mean if the solution to a system of equations is infinitely many?

Back

The lines overlap each other, meaning they are the same line.

Front

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

Back

The lines are parallel and never intersect.

Front

How can you identify a system of equations with one solution?

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of parallel lines?

Back

Two lines that never meet and have the same slope.

Front

What is the solution to the system of equations y = -3x + 11 and 5x + y = 21?

Back

(5, -4)

Front

What does the term 'substitution' mean in solving systems of equations?

Back

Replacing one variable with an expression involving another variable.

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 for two lines to intersect at a point?

Back

It means there is a unique solution to the system of equations.

Front

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

Back

If the lines are parallel, they will never intersect.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system, where both equations are true.