AR Review Practice: 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 adding or subtracting the equations to eliminate one of the variables.

Front

What is the first step in using the elimination method for the equations 4x + 3y = 1 and x - 3y = -11?

Back

Sum to eliminate the 3y and -3y.

Front

What does it mean to multiply an equation by -1?

Back

Multiplying an equation by -1 changes the signs of all terms in the equation.

Front

What is the result of multiplying the equation 2x - 6y = 20 by -1?

Back

-2x + 6y = -20.

Front

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

Back

You can choose to eliminate the variable that will simplify the calculations or that has the same coefficient in both equations.

Front

What is the solution to the system of equations 2x - 6y = 20 and 2x + 5y = -11?

Back

(1, 3).

Front

In the equations 5x - 4y = 11 and 5x + 4y = -14, which variable will be eliminated?

Back

y variables.

Front

What is the substitution method in solving systems of equations?

Back

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

Front

What is the solution to the system of equations if the answer is (3, 8)?

Back

This means x = 3 and y = 8.

Front

What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution.