Select all of the ordered pairs that are solutions to the equation y= -2x +1

A (1,3)
B (3,-5)
C (1/2,2)
D (-1/2,2)
E (1/4,3/2)

1 answer

To determine the ordered pairs that are solutions to the equation y = -2x + 1, substitute the x-values into the equation and check if the resulting y-value matches.

Let's substitute the x-values:

A) (1, 3): y = -2(1) + 1 = -2 + 1 = -1
This does not match the given y-value of 3.

B) (3, -5): y = -2(3) + 1 = -6 + 1 = -5
This matches the given y-value of -5.

C) (1/2, 2): y = -2(1/2) + 1 = -1 + 1 = 0
This does not match the given y-value of 2.

D) (-1/2, 2): y = -2(-1/2) + 1 = 1 + 1 = 2
This matches the given y-value of 2.

E) (1/4, 3/2): y = -2(1/4) + 1 = -1/2 + 1 = 1/2
This does not match the given y-value of 3/2.

Therefore, the ordered pairs that are solutions to the equation y = -2x + 1 are:
B) (3, -5)
D) (-1/2, 2)
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