Solve By Elimination Flashcardzizz

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

What is the first step in the elimination method?

Back

The first step is to manipulate the equations (by adding, subtracting, or multiplying) to align the coefficients of one variable for elimination.

Front

When adding two equations, what happens to the variables?

Back

If the coefficients of one variable are opposites, adding the equations will eliminate that variable.

Front

What does it mean to eliminate a variable?

Back

To eliminate a variable means to perform operations on the equations so that one variable is removed, allowing for the other variable to be solved.

Front

What is the goal of the elimination method?

Back

The goal is to find the values of the variables that satisfy both equations in the system.

Front

How do you decide which variable to eliminate?

Back

Choose the variable that can be easily eliminated based on the coefficients of the equations.

Front

What is the result of adding the equations 2x + 3y = 6 and 2x - 3y = 4?

Back

The result is 4x = 10.

Front

If you have the equations 3x + 2y = 12 and 3x - 4y = 6, what is the first step to eliminate x?

Back

Multiply the second equation by -1 to align the coefficients of x.

Front

What is the solution to the system of equations 2x + 3y = 6 and 4x + 6y = 12?

Back

The system has infinitely many solutions, as the second equation is a multiple of the first.

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.