Answer: x = 32
Step-by-step explanation:
x/8 - 5 = -1
Add 5 both sides : x/8 = 4
Multiply both sides by four: x=4 times 8
N represents the quantum number. for n = 3, there are 3 possible sublevels that are 3s, 3p and 3d.
There are four sublevels that are s, p, d and f. In s subshell or sublevel there is 1 orbital, in p sublevel there is 3 orbitals, in d sublevel there is 5 orbitals and in d sublevel there is 7 orbitals.
And there are 2, 6, 10 and 14 maximum number of electrons in s, p, d and f sublevels respectively.
The answer to this problem is (x,y) = (-4,2)
x = 13
subtract x from both sides of the equation
6 = 2x - x - 7
6 = x - 7
add 7 to both sides
6 + 7 = x ⇒ x = 13
As a check
substitute this value into the equation and if both sides are equal then it is the solution
left side = 13 + 6 = 19
right side = (2 × 13) - 7 = 26 - 7 = 19
hence x = 13 is the solution
