Systems of Linear Equations

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

What is the value of the x-coordinate to the solution of the system: 2x + 3y = 15 and -x + 3y = 3?

Back

4.

Front

Can a system of equations have exactly one solution?

Back

Yes.

Front

What is the term for a system of equations that has infinitely many solutions?

Back

Dependent system.

Front

What is the term for a system of equations that has no solution?

Back

Inconsistent system.

Front

Which of the following methods can be used to solve systems of equations?

Back

Graphing, Substitution, Elimination, All of the above.

Front

What is the solution to the system of equations: 3x + 2y = 6 and 6x + 4y = 12?

Back

Infinitely Many Solutions.

Front

What does it mean if two lines are skew?

Back

They do not intersect and are not parallel.

Front

What is the substitution method in solving systems of equations?

Back

Replacing one variable with an expression from another equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.