Class 10 Exam > Class 10 Questions > A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=?
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A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=?
Most Upvoted Answer
A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=?
A-4b+2c = 16
2a+7b-5c = 83
—— +
3a +3b-3c = 99
So…..
a + b – c = 33
So the answer is 33
2a+7b-5c = 83
—— +
3a +3b-3c = 99
So…..
a + b – c = 33
So the answer is 33
Community Answer
A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=?
Solving for A, B, and C
Using the given equations:
- A-4B+2C=16
- 2A+7B-5C=83
Solving for A
Multiply the first equation by 2:
- 2A-8B+4C=32
Add the second equation to the new equation:
- 2A-8B+4C+2A+7B-5C=83+32
- 4A-B=-49
- A=(49-B)/4
Solving for B
Multiply the first equation by 7:
- 7A-28B+14C=112
Add the second equation to the new equation:
- 7A-28B+14C+2A+7B-5C=83+112
- 9A-21B+9C=195
- B=(9A+9C-195)/21
Solving for C
Multiply the first equation by 5:
- 5A-20B+10C=80
Add the second equation to the new equation:
- 5A-20B+10C+2A+7B-5C=83+80
- 7A-13B+5C=163
- C=(163-7A+13B)/5
Calculating A-B+C
Substitute the values of A, B, and C into the expression:
- A-B+C=[(49-B)/4]-B+[(163-7A+13B)/5]
- A-B+C=[(49-B)*5-20B+4(163-7A+13B)]/20
- A-B+C=[245-5B-28A+52B+652-52B]/20
- A-B+C=(245-28A+652)/20
- A-B+C=44.85
Therefore, A-B+C is approximately equal to 44.85.
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A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=?
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A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=?.
A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A-4B+ 2C=16, 2A+ 7B-5C=83, then A +B-C=?.
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