Question

find solutions of 13a + 11b = 37, 11a + 13b = 35​

Answer 1

Answer:

a = 2

b = 1

Step-by-step explanation:

13a + 11b = 37 ---> i

11a + 13b = 35 ---> ii

Multiply eq i to 11 and

Multiply eq ii to 13 and

after that subtract both equations!!

143a + 121b = 407

143a + 169b = 455

- - -

_________________

00 -48b = -48

negative sign's cancel and 48/48 = 1

b = 1

Now, put b = 1 in eq i

13a + 11 (1) = 37

13a + 11 = 37

13a = 37 - 11

13a = 26

a = 26/13

a = 2

I hope u understand!!

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Answer 2

Answer:

a=2. b=1

Step-by-step explanation:

13a + 11b = 37. (a)

11a + 13b = 35. (b)

(b)×13 - (a)×11

143a + 169b = 455

143a + 121b. = 407

- - -

_________________

00 + 48b. = 48

b = 1

from eq. (a)

13a + 11×1 = 37

13a = 37 - 11

13a = 26

a = 2