Question

Y-3/4(2y-5) =11/4-2y ​

Answer 1

Ответ:

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Объяснение:

Answer 2

To solve the equation Y-3/4(2Y-5) = 11/4 - 2Y, we can follow these steps:

1. Distribute the fraction on the left side of the equation: Y - (3/4)(2Y - 5) = 11/4 - 2Y

   Distributing the fraction: Y - (3/4)(2Y) + (3/4)(5) = 11/4 - 2Y

   Simplifying the multiplication: Y - (3/4)(2Y) + 15/4 = 11/4 - 2Y

2. Simplify the equation: Y - (3/2)Y + 15/4 = 11/4 - 2Y

   Multiplying the fractions: Y - (3/2)Y + 15/4 = 11/4 - (8/4)Y

   Combining like terms: (4/4)Y - (3/2)Y + 15/4 = 11/4 - (8/4)Y

   Simplifying the fractions: (1/4)Y - (3/2)Y + (15/4) = (11 - 8)/4

   (1/4)Y - (3/2)Y + (15/4) = 3/4

3. Combine like terms: [(1/4) - (3/2)]Y + (15/4) = 3/4

   [(2/8) - (12/8)]Y + (15/4) = 3/4

   (-10/8)Y + (15/4) = 3/4

   Simplify the fractions: (-5/4)Y + (15/4) = 3/4

4. Move the constant term to the right side: (-5/4)Y = 3/4 - 15/4

   (-5/4)Y = -12/4

   (-5/4)Y = -3

5. Divide both sides by (-5/4): Y = (-3) / (-5/4)

   To divide by a fraction, we can multiply by its reciprocal: Y = (-3) * (4/(-5))

   Simplify the multiplication: Y = 12/5

So the solution to the equation is Y = 12/5.