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)
Division Property of Equality
Subtraction Property of Equality
Identity Property of Multiplication
Addition Property of Equality

1 answer

To solve the equation "Five less than three-fourths of x is seven," we can set it up as follows:

\[ \frac{3}{4}x - 5 = 7 \]

To isolate \(x\), we would add 5 to both sides first:

\[ \frac{3}{4}x = 12 \]

Next, to solve for \(x\), we would multiply both sides by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\):

\[ x = 12 \times \frac{4}{3} = 16 \]

As for the last property of equality used in this solution, it would be the Multiplication Property of Equality because the final step involves multiplying both sides of the equation by \(\frac{4}{3}\) to solve for \(x\).

So the correct answer is Identity Property of Multiplication.