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2015 #11
What nonzero value of x is a solution to the following equation?
x + 2 X-6 2x + 9
+
3x 5x
X
27
X=
A) 14
17
X =
B) 14
7 정
13
X=
14
C)
5
X=-
14
D)

2015 11 What nonzero value of x is a solution to the following equation x 2 X6 2x 9 3x 5x X 27 X A 14 17 X B 14 7 정 13 X 14 C 5 X 14 D class=

Respuesta :

rspill6

Answer:  27/14

Step-by-step explanation:

(x+2)/x +(x-6)/3x = (2x+9)/5x      

(3x+6)/3x + (x-6)/3x = (2x+9)/5x       First term:  [(x+2)/x]*(3/3) = (3x+6)/3x

(4x)/3x = (2x+9)/5x                             Combine (3x+6)/3x + (x-6)/3x  [=(4x)/3x]

(4/3)*5x = 2x + 9                      [(4x)/3x = 4/3] and multiply both sides by 5x

(20/3)x - 9 = 2x                     [(4/3)*5x] = (20/3)x;   Subtract 9 from both sides

20x - 27 = 6x                Multiply both sides by 3

14x = 27                          Simplify

x = 27/14                          And solve

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