Five less than three-fourths of x is seven. If x equals 16, what is the last property of equality you would use to justify the solution to this problem?(1 point)
Subtraction Property of Equality
Identity Property of Multiplication
Addition Property of Equality
Division Property of Equality
Subtraction Property of Equality
To solve the equation "Five less than three-fourths of x is seven" when x equals 16, we can follow these steps:
1. Start with the equation: 3/4x - 5 = 7
2. Add 5 to both sides of the equation: 3/4x - 5 + 5 = 7 + 5
3. Simplify: 3/4x = 12
4. Now, to solve for x, multiply both sides of the equation by the reciprocal of 3/4, which is 4/3: (4/3)(3/4)x = (12)(4/3)
5. Simplify: x = 16
Therefore, the last property of equality used to justify the solution to this problem is the Multiplicative Identity Property, which states that multiplying both sides of an equation by 1 (in this case, multiplying by 4/3) does not change the value of the variable.