Final answer:
To determine how many touchdowns the Texans scored if they made 3 field goals, we can set up an equation. By solving the equation, we find that the Texans scored 6 touchdowns.
Step-by-step explanation:
To determine how many touchdowns the Texans scored if they made 3 field goals, we can use the given information that the Texans score 7 points for touchdowns and 3 points for field goals. Let's set up an equation to represent the situation:
7x + 3(3) = 51
Here, x represents the number of touchdowns. By solving the equation, we can find the value of x, which will tell us how many touchdowns the Texans scored. Solving for x, we get:
7x + 9 = 51
7x = 42
x = 6
Therefore, the Texans scored 6 touchdowns if they made 3 field goals.