Question

83x - 67y = 383
67x - 83y = 367​

Answer 1

Anssorry

Step-by-step explanation:

Answer 2

Step-by-step explanation:

83x - 67y = 383 .......(1)

67x - 83y = 367 .......(2)

Add equation 1 and 2

83x - 67y = 383

+67x - 83y = 367

=150x - 150y = 750

=150(x - y)= 750

=x - y = 750/150

=x- y = 5 ......................(3)

Now, subtract equation (1) and (2)

83x - 67y = 383

67x - 83y = 367

-___+_____-______

16x + 16y = 16

16(x + y) = 16

x + y = 16/ 16

x + y = 1 ....................(4)

Add equation 3 and 4

x - y = 5

x + y = 1

= 2x = 6

= x = 6/2

= x = 3

so, the value of x is 3.

Put the value of x in eq (4)

3+y = 1

y = 1 - 3

y = -2

so, the value of y is (-2)

for checking the answer, put the value of x and y in eq (3)

3 - ( -2 )= 5

3+2= 5

5 = 5

L.H.S = R.H.S

Hence, proved

So, the value of x =3 and y =(-2)