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"Solve the equation"

"Solve the equation"-example-1
User MadProfit
by
8.3k points

1 Answer

6 votes

Answer:

y = 3 1/13

Explanation:

Add 3 and combine like terms:

... (2 3/5)y = 8

Multiply by the reciprocal of the coefficient of y.

... y = 8 · (5/13) = 40/13

... y = 3 1/13

_____

Check

(3/5)(3 1/13) - 3 + 2(3 1/13) = 5

(3/5)(40/13) - 39/13 + 2(40/13) = 5 . . . . express everything with 13 as a denominator

24/13 - 39/13 + 80/13 = 5 . . . . . eliminate parentheses

(24 -39 +80)/13 = 5 . . . . . . . . . . add the fractions

65/13 = 5

5 = 5 . . . . . the answer checks

User Stanley De Boer
by
7.7k points

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