AR Reveiw DOL: Elimination Method 12-09-24

Front

What is the elimination method in solving systems of equations?

Back

The elimination method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.

Front

How do you determine which variable to eliminate in a system of equations?

Back

Choose the variable that can be easily eliminated by adding or subtracting the equations, often based on the coefficients of the variables.

Front

What is the first step in using the elimination method?

Back

Align the equations so that like terms are in the same column, and then manipulate the equations to eliminate one variable.

Front

Solve the system using elimination: 4x + 5y = 5 and x = -10y + 3.

Back

(1, 1/5)

Front

Solve the system using elimination: 3x + y = 19 and 2x - y = 6.

Back

(5, 4)

Front

Solve the system using elimination: -9x - 4y = -20 and 5x + 4y = 4.

Back

(4, -4)

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and do not intersect.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions, meaning the equations represent parallel lines.

Front

What is the significance of the coefficients in the elimination method?

Back

Coefficients determine how the equations can be manipulated to eliminate a variable; they must be adjusted to be equal or opposites.