Question

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

1. (1, 2)
2. (7, 1)
3. (1, 7)
4. (3, -1)

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 from each ordered pair into the equation and see if it produces the corresponding \( y \) value.

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

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

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

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

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