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Maths-

General

Easy

Question

Solve for x & y:
7^{x - y} = 49 ,7^{x + y} = 343

hint Hint:

In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.
an = a × a × ... × a n times

The correct answer is: Value of x & y for the given set of equations are 28 & 147, respectively.

Step-by-step solution:-
7x - y = 49 ….................................................. (Equation i)
7x + y = 343 …............................................... (Equation ii)
Adding Equations I & ii, we get-
7x - y = 49
+ 7x + y = 343
14x = 392
∴ x = 392/14
∴ x = 28 ............................................... (Equation iii)
Substituting Equation iii in Equation i, we get-
7x - y = 49
∴ 7(28) - y = 49
∴ 196 - y = 49
∴ 196 - 49 = y
∴ 147 = y
i.e. y = 147
Final Answer:-
∴ Value of x & y for the given set of equations are 28 & 147, respectively.

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