To determine which ordered pair makes the equation $2x + y = 7$ true, we will substitute the $x$ and $y$ values from each option into the equation and see which one satisfies it.

The equation is:

$2x + y = 7$

1. $(4, 2)$

Substitute $x = 4$ and $y = 2$: $2(4) + 2 = 8 + 2 = 10 \quad (\text{not equal to } 7)$ This is not a solution.

2. $(1, -5)$

Substitute $x = 1$ and $y = -5$: $2(1) + (-5) = 2 - 5 = -3 \quad (\text{not equal to } 7)$ This is not a solution.

3. $(3, -1)$

Substitute $x = 3$ and $y = -1$: $2(3) + (-1) = 6 - 1 = 5 \quad (\text{not equal to } 7)$ This is not a solution.

4. $(2, 3)$

Substitute $x = 2$ and $y = 3$: $2(2) + 3 = 4 + 3 = 7 \quad (\text{equal to } 7)$ This is the correct solution.

Conclusion:

The ordered pair $(2, 3)$ makes the equation $2x + y = 7$ true.

Would you like further details, or do you have any other questions?

Here are five related questions for further exploration:

1. What is the general process for solving linear equations with two variables?
2. How can you graph the equation $2x + y = 7$?
3. What is the slope-intercept form of the equation $2x + y = 7$?
4. How would the solution change if the equation were $2x + y = 10$?
5. What does it mean for an ordered pair to be a solution to an equation?

Tip: When solving linear equations with ordered pairs, always substitute values systematically to check for equality.