Front

What is a system of equations?

Back

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

Front

Which method is NOT used to solve systems of equations?

Back

Distribution is NOT a method to solve systems of equations.

Front

What does it mean to create a zero pair in a system of equations?

Back

Creating a zero pair means multiplying one equation by a value that will cancel out a variable when added to another equation.

Front

How can you determine if a system of equations has no solution?

Back

A system has no solution if the lines represented by the equations are parallel and never intersect.

Front

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

Back

A system has infinitely many solutions if the equations represent the same line, meaning they overlap completely.

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 for the other variable.

Front

What is the first step in using the elimination method?

Back

The first step is to align the equations and decide which variable to eliminate.

Front

How do you create a zero pair for the variable x in the equations 2x - 6y = 20 and 2x + 5y = -11?

Back

Multiply the second equation by -1 to create a zero pair for the variable x.

Front

What is the significance of the coefficients in a system of equations?

Back

The coefficients determine the slope and position of the lines represented by the equations.

Front

What does it indicate if two equations in a system have the same slope but different y-intercepts?

Back

It indicates that the system has no solution, as the lines are parallel.