Answer:
D. Division property of Equality
Yes, this is correct because a division by -3/8 was applied and that's why it turned the solution into multiplication by using its reciprocal (-8/3).
Explanation:
1. Let's find out the property applied to solve the equation:
-3/8x = 48
-3/8 * (-8/3)x = 48 * (-8/3)
x = -128
A. Addition property of Equality
No, this is not correct because no addition was used.
B. Subtraction property of Equality
No, this is not correct because no subtraction was applied.
C. Multiplication property of Equality
No, this is not correct because in case it was applied, it should have being done this way:
-3/8x = 48
-3/8 * (-3/8)x = 48 * (-3/8)
9x/64 = -144/8
D. Division property of Equality
Yes, this is correct because a division by -3/8 was applied and that's why it turned the solution into multiplication by using its reciprocal (-8/3).