Basic System of Equations

• (-1, -2)

• (-1, 2)

• (1, 2)

• no solutions

What is the solution?

• Infinitely Many Solutions

• No Solution

• (0, 0)

• -1

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

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

This system has _____ solutions

• no

• 1

• 2

• Infinitely many

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

The solution to the system is

• (-2, -8)

• (-8, -2)

• (2, -8)

• No solution

Lines that intersect (which means they have one solution) because... (pick two of the following)

• they have the same slope and different y-intercepts.

• they have the same slope and y-intercept.

• they have different slopes and y-intercepts

• they have different slopes and the same y-intercepts.

Systems that have infinitely many solutions because the lines when graphed ...

• have the same slope and different y-intercepts.

• have the same slope and y-intercept.

• have different slopes and y-intercepts.

• have different slopes and the same y-intercepts.