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If a = 10, b = 6, evaluate: 7(a + b) - 3(a - b)
- a)100
- b)94
- c)82
- d)88
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If a = 10, b = 6, evaluate: 7(a + b) - 3(a - b)a)100b)94c)82d)88Correc...
Given Values
- a = 10
- b = 6
Expression to Evaluate
We need to evaluate the expression:
7(a + b) - 3(a - b)
Step 1: Calculate a + b
- a + b = 10 + 6 = 16
Step 2: Calculate a - b
- a - b = 10 - 6 = 4
Step 3: Substitute into the Expression
Now substitute the values into the expression:
7(a + b) - 3(a - b)
= 7(16) - 3(4)
Step 4: Perform the Multiplications
- 7(16) = 112
- 3(4) = 12
Step 5: Final Calculation
Now, we perform the final calculation:
112 - 12 = 100
Conclusion
The evaluated expression is 100. Since the problem states the correct answer is option 'A', it seems there may be a misunderstanding regarding the options provided. Based on our calculation, the correct value is 100.
- a = 10
- b = 6
Expression to Evaluate
We need to evaluate the expression:
7(a + b) - 3(a - b)
Step 1: Calculate a + b
- a + b = 10 + 6 = 16
Step 2: Calculate a - b
- a - b = 10 - 6 = 4
Step 3: Substitute into the Expression
Now substitute the values into the expression:
7(a + b) - 3(a - b)
= 7(16) - 3(4)
Step 4: Perform the Multiplications
- 7(16) = 112
- 3(4) = 12
Step 5: Final Calculation
Now, we perform the final calculation:
112 - 12 = 100
Conclusion
The evaluated expression is 100. Since the problem states the correct answer is option 'A', it seems there may be a misunderstanding regarding the options provided. Based on our calculation, the correct value is 100.
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Community Answer
If a = 10, b = 6, evaluate: 7(a + b) - 3(a - b)a)100b)94c)82d)88Correc...
7(a + b) - 3(a - b) = 7a + 7b - 3a + 3b = 4a + 10b
Substitute a = 10, b = 6 → 4(10) + 10(6) = 40 + 60 = 100
Substitute a = 10, b = 6 → 4(10) + 10(6) = 40 + 60 = 100
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