Basic Systems of Equations

Front

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

Back

The (x,y) coordinates satisfy both equations.

Front

What is the solution to the system? (3, -1), (2, -6), No Solution, (6, -2)

Back

(6, -2)

Front

This system has _____ solutions: no, 1, 2, Infinitely many

Back

no

Front

Parallel Lines never intersect because...

Back

they have the same slope and different y-intercepts.

Front

This system has _____ solutions (Hint: Both lines are graphed over each other): 1, 2, Infinitely Many, no

Back

Infinitely Many

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 two lines intersect at one point?

Back

The system has one unique solution.

Front

What does it mean if two lines are parallel?

Back

The system has no solution.

Front

What does it mean if two lines are the same?

Back

The system has infinitely many solutions.

Front

How do you graph a system of equations?

Back

Plot each equation on the same coordinate plane and look for intersections.