Question

Решите уравнение: 2 1/2у - 1,27 = 3/4у - 4,77.

Answer 1

1/2 = 0,5    3/4 = 0,75
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2,5у - 1,27 = 0,75у - 4,77
2,5у - 0,75у = - 4,77 + 1,27
1,75у = - 3,5
у = - 3,5 : 1,75
у = - 2
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Проверка: 2,5 * (-2) - 1,27 = 0,75 * (-2) - 4,77
                  - 5 - 1,27 = - 1,5 - 4,77
                  - 6,27 = - 6,27

Answer 2

2 1/2y - 1.27 = 3/4y - 4.77

First, let's convert the mixed number 2 1/2 to an improper fraction: 2 1/2 = 5/2

So the equation becomes: 5/2y - 1.27 = 3/4y - 4.77

Now, let's get rid of the fractions by multiplying every term by the least common multiple of the denominators, which is 4: 4 * (5/2y) - 4 * 1.27 = 4 * (3/4y) - 4 * 4.77 10y - 5.08 = 3y - 19.08

Next, let's get all the y terms on one side of the equation and the constant terms on the other side: 10y - 3y = 5.08 - 19.08 7y = -14

Now, divide both sides by 7 to solve for y: y = -14 / 7 y = -2

So the solution to the equation is y = -2.