Checking Solution of a System

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

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

What is the solution to this system of equations?

• (2,1)

• No Solution

• (-2, -1)

• (0, -3)

What is the solution to this system of equations?

• (2,2)

• (0,3)

• (0,0)

• No Solution

Hint: Plug the point in to check. 

• yes

• no

• Yes

• No

True or false: (2,1,-1) is the solution to the system

• True

• False

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions