Unit 116 system of equations

How many solutions does a graph have with One line running through it.

A graph like this has an infinite number of solutions.

How many solutions does a graph have with two lines that are parallel to each other.

A graph that looks like this with parallel lines has No solutions.

How many solutions does a Graph have with two intersecting lines.

A graph with intersecting lines like this has one solution.

What does consistent mean.

Consistent means that there are at least 1 or more solutions.

What does dependent mean.

Dependent means that there is an infinite number of solutions (there are two slopes that are parallel to each other)

What does Inconsistent mean.

Inconsistent means that there Is no solution (there is no slope)

What does Independent mean.

Independent means that there is exactly 1 solution (there are two slopes that intersect)

y=4x+2 x-y=-3 Is (2,5) a solution to the system?

No (2,5) is not a solution because it only works for the second equation and it has to work for both.

y=6x+1 x=3y+2 Is (3,2) a solution to the system?

No (3,2) is not a solution it does not work for either.

What is the solution to a graph with two lines with the slopes of 3x-1/1 and -7x-7/2

The answer is (-4,7)

y=2x+1 x-y=-3 Is (2,5) a solution to the system?

Yes (2,5) is a solution because it is true for both problems.