system of linear equations

Front

What is a system of linear equations?

Back

A set of 2 or more equations that involve the same variables.

Front

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

Back

The graphs of the equations are parallel lines, meaning they never intersect.

Front

How many solutions can a system of linear equations have?

Back

A system can have one solution, no solution, or infinitely many solutions.

Front

What is the solution to the system of equations represented by the point (1, 3)?

Back

The solution is the point where the equations intersect, which is (1, 3).

Front

What does the graph of a system with infinitely many solutions look like?

Back

The graphs of the equations are the same line, overlapping each other.

Front

If Point C has coordinates (-3, 5), what is Point C's y-coordinate?

Back

5

Front

What is the x-coordinate of the point (4, -2)?

Back

4

Front

What is the graphical representation of a system of equations with one solution?

Back

The graphs of the equations intersect at a single point.

Front

What does it mean for two lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel, existing in different planes.

Front

What is the slope-intercept form of a linear equation?

Back

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