Elimination - Without Common Coefficients

Front

What is the elimination method in solving systems of equations?

Back

The elimination method is a technique used to solve systems of linear equations by eliminating one variable, allowing for the solution of the remaining variable.

Front

What does it mean to have 'no common coefficients' in elimination?

Back

'No common coefficients' means that the coefficients of the variables in the equations do not share a common factor, which may require manipulation of the equations to align coefficients for elimination.

Front

How do you eliminate a variable in a system of equations?

Back

To eliminate a variable, you can multiply one or both equations by a number to create equal or opposite coefficients for that variable, then add or subtract the equations.

Front

What is the first step in using the elimination method?

Back

The first step is to arrange the equations in standard form (Ax + By = C) and identify which variable to eliminate.

Front

What is the solution to the system of equations: 3x + 3y = 9 and 5x + 4y = 10?

Back

The solution is (-2, 5).

Front

What is the value of Y in the system: 9x + 3y = 12 and 2x + y = 5?

Back

Y = 7.

Front

What is the solution to the system of equations: 9x + 3y = 12 and 2x + y = 5?

Back

The solution is (-1, 7).

Front

What is the value of X in the system: 9x + 3y = 12 and 2x + y = 5?

Back

X = -1.

Front

What is the solution to the system of equations: x + 3y = 6 and 2x - 7y = -1?

Back

The solution is (3, 1).

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables.