Systems of linear equations

Front

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

Back

The graph consists of parallel lines.

Front

How many solutions does a system of equations with parallel lines have?

Back

No solution.

Front

Solve the system of equations using the elimination method: 2x + 3y = 6 and 4x + 6y = 12.

Back

Infinitely many solutions.

Front

What is the elimination method in solving systems of equations?

Back

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

Front

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

Back

The equations represent the same line in the graph.

Front

Solve by elimination: 3x + 4y = 10 and 3x + 4y = 12.

Back

No solution.

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

If two lines intersect at one point, how many solutions does the system have?

Back

One solution.

Front

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

Back

The graph shows two intersecting lines.

Front

Define 'consistent' in the context of systems of equations.

Back

A system is consistent if it has at least one solution.