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Which two ordered pairs are solutions for y=−3x+7 ?

CHOOSE TWO.

(2 points)
Responses

(2,1)open paren 2 comma 1 close paren

(7,0)open paren 7 comma 0 close paren

(1,4)open paren 1 comma 4 close paren

(4,1)

1 answer

To determine which ordered pairs are solutions for the equation \( y = -3x + 7 \), we can substitute the \( x \) values from each ordered pair into the equation and see if the resulting \( y \) value matches the one in the ordered pair.

  1. For \( (2, 1) \): \[ y = -3(2) + 7 = -6 + 7 = 1 \] This pair is a solution.

  2. For \( (7, 0) \): \[ y = -3(7) + 7 = -21 + 7 = -14 \] This pair is not a solution.

  3. For \( (1, 4) \): \[ y = -3(1) + 7 = -3 + 7 = 4 \] This pair is a solution.

  4. For \( (4, 1) \): \[ y = -3(4) + 7 = -12 + 7 = -5 \] This pair is not a solution.

The two ordered pairs that are solutions for \( y = -3x + 7 \) are:

  • \( (2, 1) \)
  • \( (1, 4) \)