Elimination

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 which variable to eliminate first in a system of equations?

Back

Choose the variable that can be easily eliminated by adding or subtracting the equations, often based on the coefficients of the variables.

Front

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

Back

(0, 2) - This system has infinitely many solutions.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

Solve by elimination: 3x + 2y = 12 and 6x + 4y = 24.

Back

(0, 6) - This system has infinitely many solutions.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions, meaning the lines are parallel.

Front

Solve by elimination: x + y = 5 and x - y = 1.

Back

(3, 2) - The solution is the point where the two lines intersect.

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

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

Back

(2, 0) - This is the point of intersection of the two lines.