Solving Systems by Substitution Day 2 CW/HW

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

It means the equations represent parallel lines that never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point into each equation; if it satisfies all equations, it is a solution.

Front

What is the graphical representation of a system with one unique solution?

Back

Two lines that intersect at exactly one point.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What does the graph of two intersecting lines represent?

Back

A unique solution to the system of equations.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system, where both equations are satisfied.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How can you tell if two lines are parallel from their equations?

Back

If they have the same slope but different y-intercepts.