Ask a New Question
Menu

Which two ordered pairs are solutions for y=4x+1 ?

CHOOSE TWO.

(2 points)
Responses

(0,1)open paren 0 comma 1 close paren

(5,1)open paren 5 comma 1 close paren

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

(2,9)

1 answer

To determine which ordered pairs are solutions for the equation \( y = 4x + 1 \), we will substitute the \( x \) values from each ordered pair into the equation and see if the resulting \( y \) value matches the \( y \) value given in the ordered pair.

  1. For the ordered pair (0, 1): \[ y = 4(0) + 1 = 0 + 1 = 1 \] The ordered pair (0, 1) is a solution.

  2. For the ordered pair (5, 1): \[ y = 4(5) + 1 = 20 + 1 = 21 \] The ordered pair (5, 1) is not a solution.

  3. For the ordered pair (0, 0): \[ y = 4(0) + 1 = 0 + 1 = 1 \] The ordered pair (0, 0) is not a solution.

  4. For the ordered pair (2, 9): \[ y = 4(2) + 1 = 8 + 1 = 9 \] The ordered pair (2, 9) is a solution.

The two solutions are (0, 1) and (2, 9).