Question

17(w-4) +3w -27 Helpppo

Answer 1

Answer:

w = 19/4

Step-by-step explanation:

Solve for w:

-27 + 17 (w - 4) + 3 w = 0

17 (w - 4) = 17 w - 68:

17 w - 68 + 3 w - 27 = 0

Grouping like terms, 17 w + 3 w - 68 - 27 = (17 w + 3 w) + (-27 - 68):

(17 w + 3 w) + (-27 - 68) = 0

17 w + 3 w = 20 w:

20 w + (-27 - 68) = 0

-27 - 68 = -95:

20 w + -95 = 0

Add 95 to both sides:

20 w + (95 - 95) = 95

95 - 95 = 0:

20 w = 95

Divide both sides of 20 w = 95 by 20:

(20 w)/20 = 95/20

20/20 = 1:

w = 95/20

The gcd of 95 and 20 is 5, so 95/20 = (5×19)/(5×4) = 5/5×19/4 = 19/4:

Answer: w = 19/4