Elimination Practice (with multiplying)

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves manipulating equations to eliminate one variable, making it easier to solve for the other variable.

Front

How do you determine which equation to multiply in the elimination method?

Back

Choose the equation that, when multiplied, will allow one variable to cancel out when added to the other equation.

Front

What is the first step in using the elimination method?

Back

Identify the variable you want to eliminate and adjust the coefficients of that variable in both equations.

Front

If you have the equations 3x + 2y = 16 and 7x + y = 19, how can you eliminate y?

Back

Multiply the second equation by 2 to make the coefficients of y the same: 14x + 2y = 38.

Front

What does it mean for a system of equations to be set up for elimination?

Back

It means that the equations can be manipulated to eliminate one variable easily, usually by aligning coefficients.

Front

What is the solution to the system 3x + 2y = 16 and 7x + y = 19?

Back

The solution is (2, 5).

Front

In the elimination method, what do you do after eliminating one variable?

Back

Solve the resulting equation for the remaining variable, then substitute back to find the other variable.

Front

What is the purpose of multiplying an equation in the elimination method?

Back

Multiplying an equation adjusts the coefficients to facilitate the elimination of a variable.

Front

If you have the equations 2x + 3y = 12 and 5x - y = 13, what is the solution?

Back

The solution is x = 3, y = 2.

Front

What is a reasonable solution from the graph showing the number of items sold by Lisa and Tammy when they earned the same amount?

Back

A reasonable solution is (3, 19).