One number is eight less than the second number. twice the first is 9 more than 3 times the second. find the numbers

-49/3 and -25/3

Step-by-step explanation:

Let the numbers be represented by f and s (first and second).  Then f = s - 8.  Also, 2f = 3s + 9.  Solve this system for f and s:

Substituting s - 8 for f in the 2nd equation, above, yields

2(s - 8) = 3s + 9, or 2s - 16 = 3s + 9.  Then 3s = -25, and s = -25/3.  The first number is then f = s - 8, or f = -25/3 - 8, or f = -49/3.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.