Consider first number = x
consider first number = x
consider second number = y

first equation = 8x + 5y =184
Second equation = x-y = -3
multiplying 8 to second equation
8x-8y =-24
subtracting firat equation to second equation

8x + 5y =184
-(8x-8y) = -(-24)

8x + 5y = 184
-8x + 8y = 24
cancelling both x coordinates
13y = 208
y = 208/13

y = 16 ---------->

substituting y in eq 2
x-y = -3
x-16=-3
x= -3 +16

x=13 ----------->

x= 13
y=16

the first equation formed is
8x + 5y =184

The second equation formed is
x - y = -3

Solving 1 and 2

8x +5y =184
x - y =-3

multiplying 8 to second equation

8x + 5y =184
8x - 8y = -24

Subtracting both equations

8x-8x +5y +8y = 208

13y = 208
y=208/13

y= 16

Substituting y value in second equation

x - 16 = -3
x = -3 +16

x=13

the two numbers are 13 and 16