5.3-5.4 Solving Systems By 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

What does it mean if two lines are parallel in a system of equations?

Back

If two lines are parallel, they have the same slope but different y-intercepts, resulting in no solutions for the system.

Front

What is an infinite solution in the context of systems of equations?

Back

An infinite solution occurs when two equations represent the same line, meaning there are countless points that satisfy both equations.

Front

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

Back

A system has no solution if the lines are parallel, meaning they never intersect.

Front

Solve by elimination: 2x + 3y = 6 and 4x + 6y = 12. What is the solution?

Back

Infinite solutions.

Front

Solve by elimination: 5x - 2y = 3 and 10x - 4y = 6. What is the solution?

Back

Infinite solutions.

Front

Solve by elimination: 3x + 4y = 10 and 3x + 4y = 12. What is the solution?

Back

No solutions.

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

Solve by elimination: 7x + 2y = 14 and 7x - 2y = 0. What is the solution?

Back

(2, 0)