Question

Which of the following ordered pairs is part of the solution set for the equation y=2x+5 ? (1 point) Responses (3,−1) left parenthesis 3 comma negative 1 right parenthesis (1,2) left parenthesis 1 comma 2 right parenthesis (1,7) left parenthesis 1 comma 7 right parenthesis (7,1) left parenthesis 7 comma 1 right parenthesis

Answer 1

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

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

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

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

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

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

Thus, the correct answer is \( (1, 7) \).