Question

Which expression is equivalent to − 5 6 (x − 1 2 y + 12)? A) 5 6 x + 5 12 y − 10 B) 5 6 x + 5 12 y + 12 C) − 5 6 x + 5 12 y − 10 D) − 5 6 x − 5 12 y − 10

Answer 1

Answer:

Option A - $-\frac{5}{6}(x-\frac{1}{2}y+12)=-\frac{5}{6}x+\frac{5}{12}y-10$

Step-by-step explanation:

Given : Expression $-\frac{5}{6}(x-\frac{1}{2}y+12)$

To find : Which expression is equivalent to given expression ?

Solution :

Expression $-\frac{5}{6}(x-\frac{1}{2}y+12)$

Applying distributive property, $a(b+c)=ab+ac$

$-\frac{5}{6}(x-\frac{1}{2}y+12)=-\frac{5}{6}x-(-\frac{5}{6})(\frac{1}{2}y)+(-\frac{5}{6})(12)$

$-\frac{5}{6}(x-\frac{1}{2}y+12)=-\frac{5}{6}x+\frac{5}{12}y-10$

Therefore, option A is correct.