
450:(25+5*5с)=154*х+2*х+5*х=80-28:2помогите решить


Ответы на вопрос

25+25c=450:15
25+25c=30
25c=30-25
25c=5
c=5:25
c=0,2
4*х+2*х+5*х=80-28:2
4x+2x+5x=80-14
11x=66
x=66:11
x=6



To solve the equation, let's break it down step by step:
1. Simplify the expression on the left side of the equation: 450:(25+5*5c)
First, calculate the value inside the parentheses: 25 + 5 * 5c = 25 + 25c
Then, divide 450 by the result: 450 / (25 + 25c) = 18 / (1 + c)
So, the left side of the equation simplifies to 18 / (1 + c).
2. Simplify the expression on the right side of the equation: 154x + 2x + 5x
Combine like terms: 154x + 2x + 5x = 161x
So, the right side of the equation simplifies to 161x.
3. Simplify the expression on the right side of the equation: 80 - 28:2
First, divide 28 by 2: 28 / 2 = 14
Then, subtract 14 from 80: 80 - 14 = 66
So, the right side of the equation simplifies to 66.
Now, we have the equation: 18 / (1 + c) = 161x = 66
To solve for x and c, we need to isolate each variable.
4. Solve for x: 18 / (1 + c) = 66
Multiply both sides of the equation by (1 + c): 18 = 66(1 + c)
Distribute 66: 18 = 66 + 66c
Subtract 66 from both sides of the equation: 18 - 66 = 66c
Simplify: -48 = 66c
Divide both sides of the equation by 66: -48 / 66 = c
Simplify: -8/11 = c
So, c = -8/11.
5. Solve for x: Now that we have the value of c, we can substitute it back into the equation to solve for x.
18 / (1 + (-8/11)) = 66
Simplify the denominator: 18 / (1 - 8/11) = 66
Find a common denominator: 18 / (11/11 - 8/11) = 66
Simplify the denominator: 18 / (3/11) = 66
Invert the denominator and multiply: 18 * (11/3) = 66
Simplify: 198/3 = 66
Divide both sides of the equation by 66: 198/3 / 66 = x
Simplify: 6 = x
So, x = 6.
Therefore, the solution to the equation is x = 6 and c = -8/11.


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