Question

1) (68,37-y):6,15=8,2 2) 60,8:(5,3x-2,15)=5

Answer 1

1) (68,37 - у) : 6,15 = 8,2
Умножаем обе части на 6,15 получается:
68,37 - у = 8,2 * 6,15
68,37 - у = 50,43
у = 68,37 - 50,43
у = 17,94


2) 60,8 : (5,3х - 2,15) = 5
Умножаем обе части на (5,3х - 2,15), получается:
60,8 = 5 * (5,3х -  2,15)
5 * (5,3х - 2,15) = 60,8
5* 5,3х - 5 * 2,15 = 60,8
26,5х - 10,75 = 60,8
26,5х = 60,8 + 10,75
26,5х = 71,55
х = 71,55 : 26,5
х = 2,7

Answer 2

To solve the equations, let's break them down step by step:

1. (68,37-y)/6,15 = 8,2

To solve this equation, we can cross multiply: (68,37 - y) * 8,2 = 6,15

First, let's distribute 8,2 to the terms inside the parentheses: 68,37 * 8,2 - y * 8,2 = 6,15

Multiply 68,37 by 8,2: 560,994 - y * 8,2 = 6,15

Next, subtract 560,994 from both sides to isolate the y term: -y * 8,2 = 6,15 - 560,994

Simplify the right side: -y * 8,2 = -554,844

Now, divide both sides by -8,2 to solve for y: y = (-554,844) / (-8,2)

Simplifying the division: y ≈ 67,8170731707317

Therefore, the solution to the first equation is y ≈ 67,817.

2. 60,8 / (5,3x - 2,15) = 5

To solve this equation, we can cross multiply: 60,8 = 5 * (5,3x - 2,15)

First, distribute 5 to the terms inside the parentheses: 60,8 = 5 * 5,3x - 5 * 2,15

Multiply 5 and 5,3x: 60,8 = 26,5x - 10,75

Next, add 10,75 to both sides to isolate the 26,5x term: 60,8 + 10,75 = 26,5x

Simplify the left side: 71,55 = 26,5x

Now, divide both sides by 26,5 to solve for x: x = 71,55 / 26,5

Simplifying the division: x ≈ 2,7

Therefore, the solution to the second equation is x ≈ 2,7.