A drummer and a guitarist each wrote songs for their band. The number of songs the guitarist wrote minus twice the number of songs the drummer wrote is 8. They wrote a total of 46 songs. g = songs guitarist wrote
d = songs guitarist wrote

g=33 1/3

d=12 2/3

Step-by-step explanation:

g-2d=8

g=8+2d

g+d=46

g=46-d

8+2d=46-d

8+3d=46

38=3d

12 2/3=d

46-12 2/3= g

33 1/3=g

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.

5x+10 is the correct one

hope this