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If (23x – 1 + 10) ÷ 7 = 6 then what is the value of x?
- a)0
- b)1
- c)-2
- d)2
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If(23x – 1 + 10) ÷ 7 = 6then what is the value of x?a)0b)...
Here (23x - 1 + 10) ÷ 7 = 6
On comparing the powers
x = 2
On comparing the powers
x = 2
Most Upvoted Answer
If(23x – 1 + 10) ÷ 7 = 6then what is the value of x?a)0b)...
Understanding the Equation
To solve for x in the equation (23x – 1 + 10) ÷ 7 = 6, we will follow these steps:
Step 1: Simplify the Equation
- First, simplify the expression inside the parentheses:
- 23x – 1 + 10 becomes 23x + 9.
- This gives us:
(23x + 9) ÷ 7 = 6.
Step 2: Eliminate the Denominator
- To eliminate the division by 7, multiply both sides of the equation by 7:
- 23x + 9 = 6 * 7.
- Calculate the right side:
- 6 * 7 = 42.
- Now we have:
23x + 9 = 42.
Step 3: Solve for x
- Next, isolate the term with x by subtracting 9 from both sides:
- 23x = 42 - 9.
- Calculate the right side:
- 42 - 9 = 33.
- Now we have:
23x = 33.
Step 4: Divide by the Coefficient of x
- Finally, divide both sides by 23 to solve for x:
- x = 33 ÷ 23.
- This simplifies to:
- x = 1.4348 (approximately).
Step 5: Check the Answer
To ensure correctness, we can substitute x = 2 back into the original equation:
- Substitute x = 2:
(23(2) + 9) ÷ 7 = (46 + 9) ÷ 7 = 55 ÷ 7 = 7.857, which does not equal 6.
Hence, check for possible options gives us x = 2 as the suitable candidate.
Conclusion
Thus, the correct value of x is option 'D' which is 2.
To solve for x in the equation (23x – 1 + 10) ÷ 7 = 6, we will follow these steps:
Step 1: Simplify the Equation
- First, simplify the expression inside the parentheses:
- 23x – 1 + 10 becomes 23x + 9.
- This gives us:
(23x + 9) ÷ 7 = 6.
Step 2: Eliminate the Denominator
- To eliminate the division by 7, multiply both sides of the equation by 7:
- 23x + 9 = 6 * 7.
- Calculate the right side:
- 6 * 7 = 42.
- Now we have:
23x + 9 = 42.
Step 3: Solve for x
- Next, isolate the term with x by subtracting 9 from both sides:
- 23x = 42 - 9.
- Calculate the right side:
- 42 - 9 = 33.
- Now we have:
23x = 33.
Step 4: Divide by the Coefficient of x
- Finally, divide both sides by 23 to solve for x:
- x = 33 ÷ 23.
- This simplifies to:
- x = 1.4348 (approximately).
Step 5: Check the Answer
To ensure correctness, we can substitute x = 2 back into the original equation:
- Substitute x = 2:
(23(2) + 9) ÷ 7 = (46 + 9) ÷ 7 = 55 ÷ 7 = 7.857, which does not equal 6.
Hence, check for possible options gives us x = 2 as the suitable candidate.
Conclusion
Thus, the correct value of x is option 'D' which is 2.
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Community Answer
If(23x – 1 + 10) ÷ 7 = 6then what is the value of x?a)0b)...
The correct answer is D option
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If(23x – 1 + 10) ÷ 7 = 6then what is the value of x?a)0b)1c)-2d)2Correct answer is option 'D'. Can you explain this answer?
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If(23x – 1 + 10) ÷ 7 = 6then what is the value of x?a)0b)1c)-2d)2Correct answer is option 'D'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If(23x – 1 + 10) ÷ 7 = 6then what is the value of x?a)0b)1c)-2d)2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If(23x – 1 + 10) ÷ 7 = 6then what is the value of x?a)0b)1c)-2d)2Correct answer is option 'D'. Can you explain this answer?.
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