Question

7a+b=11 and a+7b=5 then find
a+b
​

Answer 1

SOLUTION

GIVEN

7a + b = 11 and a + 7b = 5

TO DETERMINE

The value of a + b

EVALUATION

Here the given equations are

7a + b = 11 - - - - - - (1)

a + 7b = 5 - - - - - - - (2)

Equation 1 + Equation 2 gives

$\sf{8a + 8b = 16}$

$\sf{ \implies \: 8(a + b) = 16}$

$\sf{ \implies \: (a + b) = 2}$

Hence the required value of a + b = 2

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