Question

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

Answer 1

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

1. For the ordered pair \( (7, 1) \):
- Substitute \( x = 7 \):
\[ y = 2(7) + 5 = 14 + 5 = 19 \]
- The output doesn't match \( y = 1 \).

2. For the ordered pair \( (1, 7) \):
- Substitute \( x = 1 \):
\[ y = 2(1) + 5 = 2 + 5 = 7 \]
- The output matches \( y = 7 \).

3. For the ordered pair \( (3, -1) \):
- Substitute \( x = 3 \):
\[ y = 2(3) + 5 = 6 + 5 = 11 \]
- The output doesn't match \( y = -1 \).

4. For the ordered pair \( (1, 2) \):
- Substitute \( x = 1 \):
\[ y = 2(1) + 5 = 2 + 5 = 7 \]
- The output doesn't match \( y = 2 \).

Thus, the only ordered pair that satisfies the equation \( y = 2x + 5 \) is \( (1, 7) \). Therefore, the correct response is:

**(1, 7)**