Question

Can i get some help with these LCD equations please.

Answer 1

Answer:

  y = -1/4

Step-by-step explanation:

  y/5 +3/10 = (y+2)/7

The LCD is 10·7 = 70. Multiplying the equation by 70 gives ...

  14y +21 = 10(y +2)

  14y +21 = 10y +20 . . . . eliminate parentheses

  4y + 21 = 20 . . . . subtract 10y

  4y = -1 . . . . . . . . . subtract 21

  y = -1/4 . . . . . . . . .divide by 4

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Check

  (-1/4)/5 +3/10 = (-1/4 +2)/7 . . . . . substitute for y

  -1/20 +6/20 = (7/4)/7 . . . simplify a bit, rewrite 3/10

  5/20 = 1/4 . . . . . . . . . . true