Final answer:
The correct Property of Equality used to solve the equation 4x+1=29 and find the solution x=7 is the Division Property of Equality.
Step-by-step explanation:
The solution, x=7, to the equation 4x+1=29, is correct because the Subtraction Property of Equality was used to replace x with 7 in any expression containing x. When solving this equation, you perform the same operation on both sides of the equals sign to maintain the equality. In this case, to isolate x, you would subtract 1 from both sides of the equation, giving you 4x=28, and then divide both sides by 4 to find x. The final step, which involves dividing by 4, confirms that the Division Property of Equality is used to find the value of x. Thus, the correct answer is (d) Division.