Question

Which of the following ordered pairs is part of the solution set for the equation: y = 2x + 5
A. (3, -1)
B. (1, 2)
C. (7, 1)
D. (1, 7)

Answer 1

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

Let's evaluate each option:

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

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

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

D. For \( (1, 7) \):
\[
y = 2(1) + 5 = 2 + 5 = 7 \quad (\text{is } 7)
\]

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

Therefore, the correct answer is **D. (1, 7)**.