Question

fill in the blanks
(-27)*((-18)+12)=__*(-18)+(-27)*__​

Answer 1

Answer:

(-18)/5

Step-by-step explanation:

let

(-27)*((-18)+12)= x*(-18)+(-27)*x

Solve for x:

-27 (12 - 18) = -18 x - 27 x

-27-6 = -18 x - 27 x

162 = -18 x - 27 x

162 = -45 x

162 = -45 x is equivalent to -45 x = 162:

-45 x = 162

Divide both sides of -45 x = 162 by -45:

(-45 x)/(-45) = 162/(-45)

x = 162/(-45)

The gcd of 162 and -45 is 9, so 162/(-45) = (9×18)/(9 (-5)) = 9/9×18/(-5) = 18/(-5):

x = 18/(-5)

Multiply numerator and denominator of 18/(-5) by -1:

Answer:

x = (-18)/5