Day 1 - Solve Systems by Elimination

Front

The solution (answer) to a system of equations is ____________

Back

the point where the 2 lines intersect

Front

Find the solution to the system: 3x + y = 19, 2x - y = 6

Back

(5, 4)

Front

Solve the system of linear equations: 5x - 3y = -36, 2x + 3y = 15

Back

(-3, 7)

Front

Find the solution to the system: -4x - 4y = 0, 4x + 4y = 0

Back

Infinite solutions

Front

Solve the System using Elimination: 7x - y = -10, -7x + 5y = -6

Back

(-2, -4)

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

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

Back

The lines are parallel and do not intersect.

Front

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

Back

The equations represent the same line.

Front

How do you determine if two lines intersect?

Back

By solving the system of equations to find a common solution.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.