Question

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)

Answer 1

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)**.