Systems of Equations

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 substitution method?

Back

A method for solving a system of equations by isolating one variable and substituting its value into another equation.

Front

What is the elimination method?

Back

A method for solving a system of equations by adding or subtracting equations to eliminate a variable.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point in a coordinate plane.

Front

What does it mean for a system of equations to be consistent?

Back

A system that has at least one solution.

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What does it mean for a system of equations to be inconsistent?

Back

A system that has no solutions.

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What does it mean for a system of equations to be dependent?

Back

A system that has infinitely many solutions, where the equations represent the same line.

Front

How do you graph a system of equations?

Back

By plotting each equation on the same coordinate plane and identifying the point(s) of intersection.

Front

What is the first step in the substitution method?

Back

Isolate one variable in one of the equations.