Question

Solve for x, given the equation Vx - 5 + 7 = 11.
a) 3
b) 4
c) 5
d) 6

Answer 1

To solve the equation Vx - 5 + 7 = 11 for x, simplify the equation to Vx + 2 = 11, subtract 2 to get Vx = 9, and then find the square root of 9. The solution is x = 3.

Step-by-step explanation:

The solution to the equation Vx - 5 + 7 = 11 can be found by following these steps:

1. Start with the original equation: Vx - 5 + 7 = 11.
2. Simplify the left side of the equation: Vx - 5 + 7 = Vx + 2.
3. Since the question asks us to solve for x, we set the simplified left side equal to the right side: Vx + 2 = 11.
4. Subtract 2 from both sides to isolate the x term: Vx = 11 - 2.
5. Solve for x: Vx = 9.
6. Note that V represents the square root, so we can rewrite it as x = √9.
7. Find the square root of 9, which is 3, so x = 3.

Therefore, the solution is (a) 3.