Question

Consider the equation and its solution.

8(x-2)=64
8x-16=64
8x=80
x=10

Which property is used in the last step to find that X=10?
A. distributive property
B. addition property of equality
C. subtraction property of equality
D. division property of equality

Answer 1

ANSWER WOULD BE D . division property of equality

Explanation:

Took the test the math is quite simple

Answer 2

D. division property of equality

Explanation:

`8(x-2)=64\qquad\text{distributive property}\\8x-(8)(2)=64\\8x-16=64\qquad\text{add 16 to both sides}\\8x-16+16=64+16\qquad\text{addition property of equality}\\8x=80\qquad\text{divide both sides by 8}\\(8x)/(8)=(80)/(8)\qquad\text{division property of equality}\\x=10`