Interpret Solutions to Systems

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Is the point (2, -1) a solution to the systems of equations below?

• Yes

• No

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

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

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?

• (-2,0)

• (4,0)

• (0,4)

• (1,3)

What is the solution to this system of equations?

• (0,-2)

• No Solution

• (3,-1)

• (4,0)

Tell whether the ordered pair is a solution to the system.
(0, 3)   -7x + 9y = 27
            -14x - 2y = -6

• Yes

• No

Tell whether the ordered pair is a solution to the system.
(-1,  -2)   3x + 5y = 3
               -9x - 8y = -9

• yes

• no

Tell whether the ordered pair is a solution to the system.
(-2, 3)   -2x + 2y = 10
             -5x - 8y = -14

• Yes

• No