Question

answer this problem !only for genius

Answer 1

Answer:

a = 19/2

b = 7/2

x =7/2

y = 9/2

Step-by-step explanation:

This is a system of 4 equations involving 4 variables.

(Please see attachment for placement of variables.)

The following is the system of equations

x + y = 8

a - b = 6

x + a = 13

y + b = 8

From 1st and 4th equations, we have

x = b = 8-y

Substituting the above value in 2nd and 3rd equations, we have

a - 8 +y =6 => a+y = 14

8 - y + a  = 13 => a-y =5

Adding the above we have

2a = 14+5 = 19

a = 19/2

x+a = 13

x = 13-19/2 = 7/2

x = b =7/2

y = 8-x = 8 - 7/2 = 9/2

∴ a = 19/2

  b = 7/2

   x =7/2

   y = 9/2