systems of equations vocabulary

Front

What is a system of linear equations?

Back

Consists of two or more linear equations with the same variables.

Front

What is the solution of a system of linear equations?

Back

In two variables, is an ordered pair that satisfies each equation.

Front

What does it mean to have 'infinite solutions'?

Back

Any value for the variable would make the equation true.

Front

What is a unique solution in a system of equations?

Back

There is exactly one ordered pair that satisfies both equations.

Front

What does it mean if two lines are parallel in a system of equations?

Back

There is no solution; the lines never intersect.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection point(s) of the lines representing the equations.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represents a point on a coordinate plane.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that value into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.

Front

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

Back

The system has at least one solution.