Systems and Matrices Review

Front

If a system of equations has no solution, what does the graph look like?

Back

The graph consists of parallel lines.

Front

What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5)

Front

What equations represent the system for ticket sales where 3 senior citizen tickets and 1 child ticket sold for $38, and 3 senior citizen tickets and 2 child tickets sold for $52?

Back

3s + 1c = 38 and 3s + 2c = 52

Front

Determine if (4, 1) is a solution for the system of equations y = -x + 5 and y = 2x - 7.

Back

Yes, (4, 1) is a solution.

Front

What does it mean for two lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel.

Front

Define a consistent system of equations.

Back

A consistent system has at least one solution.

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions.

Front

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

Back

The lines coincide (overlap completely).

Front

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

Back

Substitute the point into each equation; if it satisfies all, it is a solution.

Front

What is the substitution method in solving systems of equations?

Back

Solve one equation for one variable and substitute into the other equation.