Solve by Elimination (level 1)

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 does it mean to eliminate a variable?

Back

To eliminate a variable means to manipulate the equations so that one variable is removed, allowing for the solution of the other variable.

Front

When using elimination, what should you do if the coefficients of one variable are the same?

Back

If the coefficients of one variable are the same, you can subtract one equation from the other to eliminate that variable.

Front

What is the first step in solving a system of equations by elimination?

Back

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

Front

If you have the equations 2x + 3y = 6 and 4x + 6y = 12, what can you conclude?

Back

These equations represent the same line, leading to infinitely many solutions.

Front

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

Back

No solution means that the lines represented by the equations are parallel and will never intersect.

Front

How do you check your solution after using elimination?

Back

Substitute the values of the variables back into the original equations to verify that both equations are satisfied.

Front

What is the solution to the system of equations 7x - 9y = 29 and 7x + 2y = -15?

Back

The solution is (-1, -4).

Front

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

Back

It means that the equations represent the same line, and any point on that line is a solution.

Front

What is the result of adding the equations 3x + 2y = 12 and 3x - 4y = 6?

Back

The result is 6x - 2y = 18.