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Find the value of P ( in terms of x ) ,such that the linear equation 6x- Py = 2 has equal values of x and y?
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Find the value of P ( in terms of x ) ,such that the linear equation 6...
Understanding the Problem
To find the value of \( P \) in the linear equation \( 6x - Py = 2 \) such that \( x \) and \( y \) are equal, we start by substituting \( y \) with \( x \). Thus, we can express \( y \) in terms of \( x \) as follows:
Substituting Variables
- Replace \( y \) with \( x \):
- \( 6x - Px = 2 \)
Simplifying the Equation
- Combine like terms:
- \( (6 - P)x = 2 \)
Finding \( P \) for Equal Values
To ensure that \( x \) has a specific value (and thus \( y \) has the same value), we need \( (6 - P) \) to not equal zero. Therefore, we can express \( x \) in terms of \( P \):
- Rearranging gives:
- \( x = \frac{2}{6 - P} \)
Setting Condition for Equal Values
- For \( x \) and \( y \) to be equal, we need:
- \( 6 - P \neq 0 \)
- Which implies \( P \neq 6 \)
Final Expression for \( P \)
To find \( P \) when \( x = y \):
- Rearranging the condition:
- If \( x = y \), then:
- \( (6 - P)x = 2 \) must yield a valid \( x \)
- Thus, we can solve for \( P \):
- \( P = 6 - \frac{2}{x} \)
In conclusion, the value of \( P \) in terms of \( x \) is:
Final Result
- \( P = 6 - \frac{2}{x} \)
To find the value of \( P \) in the linear equation \( 6x - Py = 2 \) such that \( x \) and \( y \) are equal, we start by substituting \( y \) with \( x \). Thus, we can express \( y \) in terms of \( x \) as follows:
Substituting Variables
- Replace \( y \) with \( x \):
- \( 6x - Px = 2 \)
Simplifying the Equation
- Combine like terms:
- \( (6 - P)x = 2 \)
Finding \( P \) for Equal Values
To ensure that \( x \) has a specific value (and thus \( y \) has the same value), we need \( (6 - P) \) to not equal zero. Therefore, we can express \( x \) in terms of \( P \):
- Rearranging gives:
- \( x = \frac{2}{6 - P} \)
Setting Condition for Equal Values
- For \( x \) and \( y \) to be equal, we need:
- \( 6 - P \neq 0 \)
- Which implies \( P \neq 6 \)
Final Expression for \( P \)
To find \( P \) when \( x = y \):
- Rearranging the condition:
- If \( x = y \), then:
- \( (6 - P)x = 2 \) must yield a valid \( x \)
- Thus, we can solve for \( P \):
- \( P = 6 - \frac{2}{x} \)
In conclusion, the value of \( P \) in terms of \( x \) is:
Final Result
- \( P = 6 - \frac{2}{x} \)
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Find the value of P ( in terms of x ) ,such that the linear equation 6x- Py = 2 has equal values of x and y? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the value of P ( in terms of x ) ,such that the linear equation 6x- Py = 2 has equal values of x and y? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of P ( in terms of x ) ,such that the linear equation 6x- Py = 2 has equal values of x and y?.
Find the value of P ( in terms of x ) ,such that the linear equation 6x- Py = 2 has equal values of x and y? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the value of P ( in terms of x ) ,such that the linear equation 6x- Py = 2 has equal values of x and y? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of P ( in terms of x ) ,such that the linear equation 6x- Py = 2 has equal values of x and y?.
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