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 other variable to be solved directly.

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 suitable number so that when the equations are added or subtracted, one variable cancels out.

Front

What is the first step in using the elimination method?

Back

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

Front

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

Back

'No common coefficients' means that the coefficients of the variable you want to eliminate are not the same in both equations, requiring multiplication to create equal coefficients.

Front

Solve for Y: 9x + 3y = 12 and 2x + y = 5.

Back

Y = 7

Front

Solve for X: 3x + 3y = 9 and 5x + 4y = 10.

Back

X = -2

Front

Solve for X: x + 3y = 6 and 2x - 7y = -1.

Back

X = 3

Front

What is the final solution for the system: 9x + 3y = 12 and 2x + y = 5?

Back

(-1, 7)

Front

What is the final solution for the system: 3x + 3y = 9 and 5x + 4y = 10?

Back

(-2, 5)

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.