System of Equations

Front

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

Back

Parallel lines.

Front

When does a system of equations have no solutions?

Back

When the slopes of the lines are the same.

Front

Which of these is NOT a method for solving systems of linear equations?

Back

Frustration.

Front

Solve by elimination: -12x - 4y = -8 and -6x - 2y = -4

Back

Infinite solutions.

Front

What is the solution to the system? Solve by substitution: y = 4x + 3 and 2x - 3y = 21

Back

(-3, -9).

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 intersect in a graph of a system of equations?

Back

The system has one unique solution.

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.

Front

What are parallel lines in the context of systems of equations?

Back

Lines that have the same slope but different y-intercepts.