Question

7a + b= 11; a+ 7b = 5. Find a+b
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Answer 1

Answer:

anwer is 2

Step-by-step explanation:

7a + b = 11 ------- equation A

a + 7b = 5 --------equation B

by multiplying 7 to equation A

49 a + 7b = 77 -----equation C

a + 7b = 5 -----equation D

substrating equation C - D

48 a = 72

ie , a = 1.5

subtituting it in equation A

7 ×1.5 +b = 11

10.5 + b = 11

b = 11 - 10.5

b =.5

A + B = 1.5 + 0.5

= 2

Answer 2

SOLUTION

GIVEN

$\sf{7a + b = 11}$

$\sf{a + 7b = 5}$

TO DETERMINE

The value of a + b

EVALUATION

Here it is given that

$\sf{7a + b = 11 \: \: \: \: - - - - (1)}$

$\sf{a + 7b = 5 \: \: \: \: - - - - - (2)}$

Adding Equation 1 and Equation 2 we get

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

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

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

FINAL ANSWER

Hence the required value of a + b = 2

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