Solving Systems

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting lines.

Front

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

Back

The point (1, -1) is the solution to the system.

Front

Use the Elimination method to solve the system: -4x - 2y = -12 and 4x + 8y = -24.

Back

The solution is (6, -6).

Front

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

Back

The graph consists of parallel lines.

Front

What are the possible types of solutions for a system of equations?

Back

One Solution, No Solution, Infinitely Many Solutions.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line.

Front

How can you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Front

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

Back

Two lines that intersect at a single point.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate a variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other equation.