Alg. IB - 12/09/24 Do Now

Front

How can you tell if a point is a solution to a system?

Back

The (x,y) coordinates satisfy both equations.

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect.

Front

What is the solution to the system? (0, 3), (1, -1), (-3, 1), (1, 3)

Back

(1, 3).

Front

This system has _____ solutions: 0, 1, 2, Infinitely many

Back

0.

Front

Is (1,10) a solution to y=7x+5 and y=x+9?

Back

No.

Front

What does it mean for two lines to intersect?

Back

It means they have a common solution (x, y) that satisfies both equations.

Front

What is a system of equations?

Back

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

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

The lines are the same, meaning they overlap completely.