Systems of Equations REVIEW

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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 solution to the system of equations 3x - y = 7 and 2x + y = 3?

Back

(2, -1)

Front

What method is best to use when one variable is isolated in an equation?

Back

Substitution.

Front

What is the elimination method?

Back

A technique for solving systems of equations by adding or subtracting equations to eliminate a variable.

Front

What does it mean if two equations are dependent?

Back

They have infinitely many solutions and represent the same line.

Front

What does it mean if two equations are inconsistent?

Back

They have no solution and represent parallel lines.

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the lines intersect represent the solution(s) to the system.

Front

What is the substitution method?

Back

A method of solving a system of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method used for?

Back

To eliminate one variable by adding or subtracting the equations.