Systems of equations word problems

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 of the system of equations represented by the point (1, -1)?

Back

The solution is the point where the two equations intersect, which is (1, -1).

Front

What are the characteristics of intersecting lines in a system of equations?

Back

Intersecting lines indicate that there is exactly one solution to the system.

Front

What does it mean if two lines are skew in a system of equations?

Back

Skew lines do not intersect and are not parallel, indicating that there is no solution.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line, then there are infinitely many solutions.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for a variable and substituting that value into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve.

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.