2 years ago

2015 #11

Mathematics

1 answer:

lora16 [44]2 years ago

5 0

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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