Question

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

(1,7)
(7,1)
(1,2)
(3,-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 \( x \) values from each ordered pair into the equation and see if the resulting \( y \) value matches.

1. **For (1, 7)**:
\[
y = 2(1) + 5 = 2 + 5 = 7
\]
This matches, so (1, 7) is a solution.

2. **For (7, 1)**:
\[
y = 2(7) + 5 = 14 + 5 = 19
\]
This does not match, so (7, 1) is not a solution.

3. **For (1, 2)**:
\[
y = 2(1) + 5 = 2 + 5 = 7
\]
This does not match, so (1, 2) is not a solution.

4. **For (3, -1)**:
\[
y = 2(3) + 5 = 6 + 5 = 11
\]
This does not match, so (3, -1) is not a solution.

The only ordered pair that is part of the solution set for the equation \( y = 2x + 5 \) is **(1, 7)**.