Systems 5/4 Solutions & Substitution

Front

What is the solution to the system of equations?

Back

The solution is the ordered pair (1, -1) that satisfies both equations.

Front

When you graph the same equation twice, what is the result?

Back

You will have infinite solutions.

Front

What defines the solution to a system of equations?

Back

The solution is any ordered pair that makes both equations true.

Front

What does a system of equations with no solution look like on a graph?

Back

The lines are parallel and never intersect.

Front

How is a coordinate pair ordered?

Back

A coordinate pair is ordered as (x, y).

Front

What does it mean if two equations represent the same line?

Back

It means there are infinite solutions since every point on the line is a solution.

Front

What is a system of equations?

Back

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

Front

What is substitution in solving systems of equations?

Back

Substitution involves solving one equation for a variable and substituting that expression into another equation.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines or curves that may intersect at points representing solutions.

Front

What does it mean if a system of equations has one solution?

Back

It means the lines intersect at exactly one point.