Find x when y=6 in the literal equation 5x+4y=39

A. 12.6
B. 15
C. 2.25
D. 3

y=6

then,

5x+4y=39---> plug y in to the function

5x+4(6)=39

5x+ 24=39

5x= 39-24

5x= 15

x= 15/5

x= 3

So, the value of x when y=6 in that function is 3 (D)

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.