Solving 3-Variable Systems

Front

What is the elimination method used for in solving 3-variable systems?

Back

To eliminate variables in a system of equations.

Front

What is the first step in the substitution method to substitute one variable?

Back

Solve one of the equations for one variable in terms of the other variable.

Front

Which method is most suitable for solving 3-variable systems when the coefficients are simple?

Back

Substitution method.

Front

What is the first step to eliminate one variable using the elimination method?

Back

Multiply one or both equations by a constant.

Front

What is the substitution method used for in solving 3-variable systems?

Back

To solve for one variable and substitute it into the other equations.

Front

Define a 3-variable system of equations.

Back

A set of three equations with three unknown variables.

Front

What is a coefficient in a system of equations?

Back

A numerical factor that multiplies a variable.

Front

What does it mean to solve a system of equations?

Back

To find the values of the variables that satisfy all equations simultaneously.

Front

What is a solution to a 3-variable system?

Back

A set of values for the variables that makes all equations true.

Front

What is the graphical representation of a 3-variable system?

Back

A three-dimensional space where each equation represents a plane.