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If 7(x - y) = 343 and 7(x + y) = 16807, what is the value of x?
  • a)
    4
  • b)
    3
  • c)
    2
  • d)
    1
Correct answer is option 'A'. Can you explain this answer?
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If 7(x - y)= 343 and 7(x + y)= 16807, what is the value of x?a)4b)3c)2...
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If 7(x - y)= 343 and 7(x + y)= 16807, what is the value of x?a)4b)3c)2...
Given equations:
7(x - y) = 343
7(x + y) = 16807

To find the value of x, we can solve these equations simultaneously.

Solving the first equation:
7(x - y) = 343
Dividing both sides by 7:
x - y = 49

Solving the second equation:
7(x + y) = 16807
Dividing both sides by 7:
x + y = 2401

Now we have a system of equations:
x - y = 49
x + y = 2401

To solve this system, we can add the two equations together:

(x - y) + (x + y) = 49 + 2401
2x = 2450
Dividing both sides by 2:
x = 1225

Therefore, the value of x is 1225.

However, the given options are:
a) 4
b) 3
c) 2
d) 1

The given options do not match the calculated value of x. It seems that there may be an error in the options provided. Without the correct options, we cannot determine the exact value of x from the given choices.
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