Question

11x+13y=61 13x+11y=59​

Answer 1

Answer:

11x + 13y = 61 ------------ (i)

13x + 11y = 59 ------------ (ii)

adding equation (i) & (ii)

11x + 13y = 61 ------------ (i)

13x + 11y = 59 ------------ (ii)

_________

24x +24y =120

dividing throughout by 12

2x + 2y = 10

dividing throughout by 2

x + y = 5---------(iii)

subtracting equation (ii) from (i)

11x + 13y = 61 --------------(i)

13x + 11y = 59 ------------ (ii)

(-) (-) (-)

__________

-2x + 2y = 2

dividing throughout by 2

-x + y = 1---------(iv)

adding equation (iii) & (iv)

x + y = 5---------(iii)

-x + y = 1---------(iv)

_______

2y = 6

y = 6÷2

:. y = 3

substitute y = 3 in equation (iii)

x + y = 5---------(iii)

x + 3 = 5

x = 5 - 3

:. x = 2

:. solution of the given equation is (x,y) =(2,3)

humble request:-

if you think that my answer is better than others

please make me a brainliest so that I can help you more faster ☺️☺️

if you didn't understand any point in the sum ask me in comment ☺️