Solving Systems by Elimination

Front

What is a system of equations?

Back

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

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.

Front

What is the elimination method?

Back

A technique for solving systems of equations by removing one variable, making it easier to solve for the other.

Front

What is the first step in the elimination method?

Back

Align the equations so that corresponding variables are in the same column.

Front

How do you eliminate a variable in a system of equations?

Back

You can multiply one or both equations by a number to make the coefficients of one variable opposites.

Front

What is the solution to the system of equations 4x + 9y = 28 and -4x - y = -28?

Back

(7, 0) is the solution.

Front

What does it mean if two lines intersect at a point on a graph?

Back

The coordinates of the intersection point are the solution to the system of equations.

Front

What is the graphical representation of a system of equations?

Back

It consists of the lines corresponding to each equation plotted on a coordinate plane.

Front

What is the significance of the point (4, -1) in the context of systems of equations?

Back

It is a solution to the system, meaning it satisfies all equations in the system.

Front

What is the purpose of using the elimination method?

Back

To simplify the process of finding the solution to a system of equations.