Solving a System by Substitution

Front

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

Back

The lines intersect.

Front

How many solutions does a system with intersecting lines have?

Back

One

Front

What are the coordinates of the intersection point of the lines y = 2x - 6 and y = -x + 2?

Back

(4, -2)

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

What is the number of solutions for a system of equations that are the same line?

Back

Infinitely Many Solutions.

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

Replacing one variable with an expression from another equation.

Front

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

Back

They have no points of intersection, hence no solution.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The same line graphed multiple times.

Front

How can you determine if a system of equations has one solution?

Back

By checking if the lines intersect at a single point.