Elimination Skill Check

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

How do you determine if a system of equations has no solution?

Back

A system has no solution if the equations represent parallel lines, which means they have the same slope but different y-intercepts.

Front

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

Back

It means that the equations represent the same line, so every point on the line is a solution.

Front

Solve by elimination: 2x + 3y = 6 and 4x + 6y = 12.

Back

Infinitely many solutions (the second equation is a multiple of the first).

Front

What is the first step in using the elimination method?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

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

Back

You can multiply one or both equations by a number to make the coefficients of one variable the same (or opposites), then add or subtract the equations.

Front

Solve by elimination: 5x + 2y = 10 and 3x - 2y = 4.

Back

(2, 0)