Elimination Method

Front

What is the Elimination Method in solving systems of equations?

Back

A method used to eliminate one variable by adding or subtracting equations, allowing for the solution of the remaining variable.

Front

What does it mean when two lines intersect on a graph?

Back

It means that the system of equations has a unique solution, which is the point of intersection.

Front

Solve using Elimination Method: 2x + 3y = 6 and 4x - 3y = 12.

Back

(3,0)

Front

What is the first step in the Elimination Method?

Back

To align the equations so that one variable can be eliminated by addition or subtraction.

Front

Solve the system: x + 2y = 8 and 3x + 2y = 14.

Back

(4, 2)

Front

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

Back

The lines are parallel and do not intersect.

Front

Solve using Elimination Method: 5x + 2y = 10 and 3x - 2y = 4.

Back

(2,0)

Front

What is the solution to the system of equations: 3x + 4y = 10 and 6x + 8y = 20?

Back

No solution (the second equation is a multiple of the first).

Front

Solve using Elimination Method: 7x + 3y = 24 and 2x + 3y = 9.

Back

(3, 1)

Front

What is the significance of the coefficients in the Elimination Method?

Back

They determine how to manipulate the equations to eliminate a variable.