Question

$\sqrt{89}$
​

Answer 1

Answer:

x =2 and y=1

Step-by-step explanation:

27x +31 y =85 -----(1)

31 x + 27y =89 ----(2)

Now Multiplying the coefficient of x to both the equations so that we get the similar coefficient of x.

(27x +31y =85) × 31

(31x + 27y =89) ×27

After solving these equations, the result we got comes out to be -

837x + 961y = 2635

837x + 729y = 2403

- - -

__________________

232 y = 232

y =

$\frac{232}{232} </p><p>$

Now substituting this value of y=1 in equation 1 , we get

27x +31y =85

⟹ 27x +31×1 =85

⟹ 27x + 31 =85

⟹ 27x =85-31

⟹ 27x =54

$\implies \: x=\frac{54}{27}$

So the values of x and y respectively are 2 and 1 .

Hope it helps :)