Math, asked by aditya02203savikanag, 17 days ago

If 63x + 71y = 311 , 71x + 63y = 359, then x + y is​

Answers

Answered by kumbharearpit9
5

Step-by-step explanation:

63x + 71y = 311 ____ 1

71x + 63y = 359 ____ 2

Adding eqn 1 and 2

63x + 71y = 311

+ 71x + 63y = 359

________________

134x + 134 y = 670

x + y = 5

Answered by pulakmath007
1

SOLUTION

GIVEN

63x + 71y = 311 , 71x + 63y = 359

TO DETERMINE

The value of x + y

EVALUATION

Here the given system of equations are

63x + 71y = 311 - - - - - (1)

71x + 63y = 359 - - - - - (2)

Adding Equation 1 and Equation 2 we get

 \sf 63x + 71y + 71x + 63y = 311 + 359

 \sf  \implies \: 63x + 71x + 71y + 63y = 311 + 359

 \sf  \implies \: 134x + 134y =670

 \sf  \implies \: 134(x + y) =670

 \sf  \implies \: (x + y) = \dfrac{670}{134}

 \sf  \implies \: (x + y) =5

FINAL ANSWER

Hence the required value of x + y = 5

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