Final answer:
To solve the equation √y+5 = 7, we square both sides to remove the square root, then isolate y resulting in y = 44. We check the solution by substituting back into the original equation, confirming that 44 is the correct answer.
Step-by-step explanation:
To solve the equation √y+5 = 7, we need to follow a series of algebraic steps. Consequently, our goal is to isolate the variable y on one side of the equation. We begin by squaring both sides of the equation to eliminate the square root, which yields:
(√y+5)² = 7²
y + 5 = 49
Next, we subtract 5 from both sides to solve for y:
y = 49 - 5
y = 44
Now we check the solution by substituting 44 back into the original equation:
√(44)+5 = √49 = 7
Since we find that our solution satisfies the original equation, it confirms that y = 44 is the correct solution.