Question

Which of the following ordered pairs is part of the solution set for the equation y=2x+5 ?

(1 point)
Responses

(1,2)
left parenthesis 1 comma 2 right parenthesis

(3,−1)
left parenthesis 3 comma negative 1 right parenthesis

(1,7)
left parenthesis 1 comma 7 right parenthesis

(7,1)

Answer 1

To determine which of the given ordered pairs is part of the solution set for the equation \( y = 2x + 5 \), we can substitute the \( x \) value of each ordered pair into the equation and see if the corresponding \( y \) value matches.

1. For the pair \( (1, 2) \):
\[
y = 2(1) + 5 = 2 + 5 = 7 \quad \text{(does not match 2)}
\]

2. For the pair \( (3, -1) \):
\[
y = 2(3) + 5 = 6 + 5 = 11 \quad \text{(does not match -1)}
\]

3. For the pair \( (1, 7) \):
\[
y = 2(1) + 5 = 2 + 5 = 7 \quad \text{(matches 7)}
\]

4. For the pair \( (7, 1) \):
\[
y = 2(7) + 5 = 14 + 5 = 19 \quad \text{(does not match 1)}
\]

The only ordered pair that satisfies the equation \( y = 2x + 5 \) is \( (1, 7) \).

Therefore, the answer is \( (1, 7) \).