Which ordered pairs from the replacement set are solutions to the equation?
y = -2x + 9 ; Replacement Set {((-1, 11), (0, 8), (1, 7), (2, 5)}

Answer (-1, 11)
(0, 8)
(1, 7)
(2, 5)

Question

Which ordered pairs from the replacement set are solutions to the equation?
y = -2x + 9 ; Replacement Set {((-1, 11), (0, 8), (1, 7), (2, 5)}

Answer    (-1, 11) 
   (0, 8) 
   (1, 7) 
   (2, 5)

anonymous · Answer

First, recognize that in each point, the first number is the x-coordinate and the second number is the y-coordinate.  For example, if we choose (2, 5), then we have x=2 when y=5.  Substitute these into the equation:

y = -2x + 9
5 = -2(2) + 9
5 = -4 + 9
5 = 5

Since we got a true statement, it means that (2, 5) satisfies the equation (if we had gotten something weird like 5 = 11, then that point would NOT satisfy the equation).  You need to go through each pair of coordinates to figure out which ones work, because there are several that work.

anonymous · Answer

Okay.

anonymous · Answer

Just finished checking them all! You made that so easy! Thanks!

anonymous · Answer

No problem :) .