Systems of Equations - Elimination (1)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

How do you eliminate a variable using the elimination method?

Back

Adjust the coefficients of one variable in both equations so that when added or subtracted, one variable cancels out.

Front

What is the first step in using the elimination method?

Back

Align the equations and decide which variable to eliminate.

Front

What is the solution to the system of equations: 4x + 3y = -9 and -4x - 8y = 4?

Back

(-3, 1)

Front

What is the solution to the system of equations: 2x - 2y = 2 and 6x + 2y = -18?

Back

(-2, -3)

Front

What is the solution to the system of equations: 10x + 5y = -5 and 7x - 5y = 5?

Back

(0, -1)

Front

What is the solution to the system of equations: -5x + 2y = -3 and 5x + y = -9?

Back

(-1, -4)

Front

What is the solution to the system of equations: -4x - 2y = -2 and 5x + 2y = 4?

Back

(2, -3)