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If 2x = 4y = 8z and 1 2x + 1 4y + 1 4z = 4, then the value of x is :-
Most Upvoted Answer
If 2x = 4y = 8z and 1 2x + 1 4y + 1 4z = 4, then the value of x is :...
Given:
2x = 4y = 8z
1/2x + 1/4y + 1/4z = 4
To Find:
The value of x
Solution:
We can start by using the given equation:
1/2x + 1/4y + 1/4z = 4
Multiplying both sides by the least common multiple of the denominators, which is 4, we get:
2x + y + z = 16
We are also given that 2x = 4y = 8z. We can use this information to find the value of z in terms of x:
2x = 8z
z = 1/4x
Substituting this value of z in the equation 2x = 4y, we get:
2x = 4y
y = 1/2x
Substituting the values of y and z in the equation 2x + y + z = 16, we get:
2x + 1/2x + 1/4x = 16
Multiplying both sides by 4, we get:
8x + 2x + x = 64
11x = 64
x = 64/11
Therefore, the value of x is 64/11.
2x = 4y = 8z
1/2x + 1/4y + 1/4z = 4
To Find:
The value of x
Solution:
We can start by using the given equation:
1/2x + 1/4y + 1/4z = 4
Multiplying both sides by the least common multiple of the denominators, which is 4, we get:
2x + y + z = 16
We are also given that 2x = 4y = 8z. We can use this information to find the value of z in terms of x:
2x = 8z
z = 1/4x
Substituting this value of z in the equation 2x = 4y, we get:
2x = 4y
y = 1/2x
Substituting the values of y and z in the equation 2x + y + z = 16, we get:
2x + 1/2x + 1/4x = 16
Multiplying both sides by 4, we get:
8x + 2x + x = 64
11x = 64
x = 64/11
Therefore, the value of x is 64/11.
Community Answer
If 2x = 4y = 8z and 1 2x + 1 4y + 1 4z = 4, then the value of x is :...
7/16
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If 2x = 4y = 8z and 1 2x + 1 4y + 1 4z = 4, then the value of x is :-
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If 2x = 4y = 8z and 1 2x + 1 4y + 1 4z = 4, then the value of x is :- for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If 2x = 4y = 8z and 1 2x + 1 4y + 1 4z = 4, then the value of x is :- covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2x = 4y = 8z and 1 2x + 1 4y + 1 4z = 4, then the value of x is :- .
If 2x = 4y = 8z and 1 2x + 1 4y + 1 4z = 4, then the value of x is :- for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If 2x = 4y = 8z and 1 2x + 1 4y + 1 4z = 4, then the value of x is :- covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2x = 4y = 8z and 1 2x + 1 4y + 1 4z = 4, then the value of x is :- .
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