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What is the value of p in the given equation 8(2p – 5) – 6(3p – 7) = 1?
- a)1
- b)1/2
- c)1/3
- d)1/4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the value of p in the given equation 8(2p – 5) – 6...
Given 8(2p – 5) – 6(3p – 7) = 1
⇒ 16p – 40 – 18p + 42 = 1
⇒ –2p + 2 = 1
⇒ –2p = 1– 2
⇒ –2p = –1
⇒ p = 1/2
⇒ 16p – 40 – 18p + 42 = 1
⇒ –2p + 2 = 1
⇒ –2p = 1– 2
⇒ –2p = –1
⇒ p = 1/2
Most Upvoted Answer
What is the value of p in the given equation 8(2p – 5) – 6...
Step 1: Simplify the Equation
To solve the equation 8(2p – 5) – 6(3p – 7) = 1, we start by distributing the numbers outside the parentheses:
- Distribute 8 in the first term:
- 8 * 2p = 16p
- 8 * -5 = -40
- Distribute -6 in the second term:
- -6 * 3p = -18p
- -6 * -7 = +42
Now, rewrite the equation with these values:
16p - 40 - 18p + 42 = 1
Step 2: Combine Like Terms
Next, combine the terms involving p and the constants:
- Combine the p terms:
- 16p - 18p = -2p
- Combine the constant terms:
- -40 + 42 = +2
Now the equation looks like this:
-2p + 2 = 1
Step 3: Isolate the Variable
To isolate p, subtract 2 from both sides:
-2p = 1 - 2
-2p = -1
Now, divide both sides by -2:
p = -1 / -2
p = 1/2
Final Answer
Thus, the value of p in the equation is:
p = 1/2
This matches option 'B', confirming that the correct answer is indeed 1/2.
To solve the equation 8(2p – 5) – 6(3p – 7) = 1, we start by distributing the numbers outside the parentheses:
- Distribute 8 in the first term:
- 8 * 2p = 16p
- 8 * -5 = -40
- Distribute -6 in the second term:
- -6 * 3p = -18p
- -6 * -7 = +42
Now, rewrite the equation with these values:
16p - 40 - 18p + 42 = 1
Step 2: Combine Like Terms
Next, combine the terms involving p and the constants:
- Combine the p terms:
- 16p - 18p = -2p
- Combine the constant terms:
- -40 + 42 = +2
Now the equation looks like this:
-2p + 2 = 1
Step 3: Isolate the Variable
To isolate p, subtract 2 from both sides:
-2p = 1 - 2
-2p = -1
Now, divide both sides by -2:
p = -1 / -2
p = 1/2
Final Answer
Thus, the value of p in the equation is:
p = 1/2
This matches option 'B', confirming that the correct answer is indeed 1/2.
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What is the value of p in the given equation 8(2p – 5) – 6(3p – 7) = 1?a)1b)1/2c)1/3d)1/4Correct answer is option 'B'. Can you explain this answer?
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What is the value of p in the given equation 8(2p – 5) – 6(3p – 7) = 1?a)1b)1/2c)1/3d)1/4Correct answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about What is the value of p in the given equation 8(2p – 5) – 6(3p – 7) = 1?a)1b)1/2c)1/3d)1/4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the value of p in the given equation 8(2p – 5) – 6(3p – 7) = 1?a)1b)1/2c)1/3d)1/4Correct answer is option 'B'. Can you explain this answer?.
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