Question

Two boats are traveling in a canal in opposite directions, where x represents the distance, in feet, between the boats. The equation 4(x + 1) = 4x + 4 models the paths of the boats. Solve for x.

No solution
0
All real numbers
1

1. thuthao
C. All real numbers
Step-by-step explanation:
Good luck! Hope this helped 🙂

2. The given equation is true independent of the value of x, then the correct option is “All real numbers“,

### How to solve the given equation for x?

Here the equation that models the paths of the boats is the linear equation:
4*(x + 1) = 4x + 4
To solve this we can expand the left side, so we get
4x + 4*1 = 4x +4
4x + 4 = 4x + 4
Notice that we have the exact same thing in both sides of the equation, so this is an identity, if we subtract 4x + 4 in both sides we get:
0 = 0
Notice that this is true independent of the value of x, then the correct option is “All real numbers“,