Answer:
(1). x = -10 , (2). x < 7, (3). b = -a + 1/3d
Explanation:
(1). 4.5 ( 8 - x ) + 36 = 102 - 2.5 ( 3x + 24 ) use distributive property
so 4.5 * ( 8 - x ) = 36 - 4.5x + 36 and bring the rest down = 102 - 2.5 ( 3x + 24 )
use distributive property again -2.5 * ( 3x + 24 ) = -7.5x - 60
36 - 4.5x + 336 = 102 - 7.5x - 60 add 36 to the 36 on the right side to the left side
72 - 4.5x = 102 - 7.5x - 60 subtract 102 - 60 = 42 72 - 4.5x = 42 - 7.5x
move the variable to the left-hand side and change its sign
72 - 4.5x + 7.5x = 42 now move the constant to the right-hand side and change its sign -4.5x + 7.5x = 42 - 72
now collect like terms which is 3x = -30 and divide 3 on both sides which gives u( x = -10 ).
(2). 12x>9(2x-3)-15 use distributive property
so 9*(2x-3) = 18x-7 and bring down the rest
12x> 18x-27-15 and calculate the difference which gives you 12x>18x-42
ion feel like doing the rest so imma just give the answers
2 is x<7 and 3 is b = -a + 1/3d