Question

5/7-y=1/54+1/9-10/27 помогитееее

Answer 1

Ответ:

y=$\frac{361}{378}$

Answer 2

To solve the equation 5/7 - y = 1/54 + 1/9 - 10/27, we can follow these steps:

Step 1: Simplify the right side of the equation. - To add fractions, we need a common denominator. The least common multiple (LCM) of 54, 9, and 27 is 54. - Rewrite each fraction with the common denominator of 54: 1/54 + 1/9 - 10/27 = (2/108) + (6/54) - (20/54) - Combine the fractions: (2/108) + (6/54) - (20/54) = (2 + 12 - 20)/54 = -6/54 = -1/9

Step 2: Substitute the simplified right side of the equation back into the original equation. - The equation becomes: 5/7 - y = -1/9

Step 3: Solve for y. - To isolate y, we can subtract 5/7 from both sides of the equation: 5/7 - y - 5/7 = -1/9 - 5/7 - Simplify: -y = (-1/9) - (5/7) = (-7/63) - (45/63) = -52/63 - Multiply both sides of the equation by -1 to solve for y: y = 52/63

Therefore, the solution to the equation 5/7 - y = 1/54 + 1/9 - 10/27 is y = 52/63.

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