Question

Which of the fallowing ordered pairs is part of the solution set for the equation Y=2x+5

A. (1,7)
B. (7,1)
C. (3,-1)
D. (1,2)

Answer 1

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

Let's check each option:

A. \( (1, 7) \)
- Substitute \( x = 1 \):
\[
Y = 2(1) + 5 = 2 + 5 = 7
\]
- The pair is \( (1, 7) \), which matches. So this pair is a solution.

B. \( (7, 1) \)
- Substitute \( x = 7 \):
\[
Y = 2(7) + 5 = 14 + 5 = 19
\]
- The pair is \( (7, 1) \), which does not match. So this pair is not a solution.

C. \( (3, -1) \)
- Substitute \( x = 3 \):
\[
Y = 2(3) + 5 = 6 + 5 = 11
\]
- The pair is \( (3, -1) \), which does not match. So this pair is not a solution.

D. \( (1, 2) \)
- Substitute \( x = 1 \):
\[
Y = 2(1) + 5 = 2 + 5 = 7
\]
- The pair is \( (1, 2) \), which does not match. So this pair is not a solution.

From the checks, the only ordered pair that is part of the solution set for the equation \( Y = 2x + 5 \) is:

**A. \( (1, 7) \)**.