Systems of Equations Flashcard Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if two lines in a system of equations are parallel?

Back

They have no solutions because they never intersect.

Front

What does it mean if two lines in a system of equations are coinciding?

Back

They have infinitely many solutions because they overlap completely.

Front

How can you determine the number of solutions in a system of equations?

Back

By comparing the slopes and y-intercepts of the equations.

Front

What is the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If two equations have the same slope but different y-intercepts, how many solutions do they have?

Back

No solutions.

Front

If two equations have the same slope and the same y-intercept, how many solutions do they have?

Back

Infinitely many solutions.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect.

Front

How do you check if a point is a solution to a system of equations?

Back

Substitute the point into both equations to see if it satisfies them.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations on a coordinate plane.