Solving Systems by Elimination

Front

Solve the system of equations using the elimination method: 3x - 2y = 7 and 2x + 5y = 1.

Back

The solution for the system of equations is x = 3 and y = -2.

Front

When using the elimination method, what should be the goal when adding or subtracting the equations?

Back

Eliminate one of the variables.

Front

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

Back

Make sure that the coefficients of one of the variables are opposites.

Front

What is the next step after adding or subtracting the equations in the elimination method?

Back

Solve for the remaining variable.

Front

Solve the following system of equations using the elimination method: 5x - 3y = 11 and 3x + 2y = 5.

Back

x = 3, y = 2.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

Why is it important to have opposite coefficients in the elimination method?

Back

It allows for the direct elimination of one variable when the equations are added or subtracted.

Front

What do you do if the coefficients are not opposites in the elimination method?

Back

You can multiply one or both equations by a suitable number to create opposite coefficients.

Front

What is the final step after finding the value of one variable in the elimination method?

Back

Substitute the value back into one of the original equations to find the other variable.

Front

Can the elimination method be used for non-linear systems of equations?

Back

No, the elimination method is primarily used for linear systems.