Do Now 1/3

Front

A system has ____________ when two lines intersect at one point.

Back

One solution

Front

What is the solution to a system of equations?

Back

It's the ordered pair (x, y) that makes both equations true.

Front

A system has ____________ when the two lines are parallel.

Back

No solution

Front

Here is an example of 2 lines being graphed. What answer choice matches the situation shown?

Back

The lines intersect.

Front

A system has ____________ when the two equations coincide.

Back

Infinitely Many Solutions

Front

What does it mean for two lines to intersect?

Back

It means they have one point in common, representing a single solution to the system.

Front

What is a system of equations?

Back

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

Front

What does it mean if a system of equations has no solution?

Back

It means the lines are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the lines coincide, or are the same line.

Front

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

Back

By checking if the lines intersect at exactly one point.