Respuesta :

Answer:

The below explanation can give you whatever you are seeking.

Step-by-step explanation:

The two unknowns in the equation are "n" and "d"

$78.90 = n(.05)+d(.10) ........................ (1)

Make both unknowns the subject of the formula and substitute for each other

[tex]n = \frac{78.90 - d(.10)}{.05}[/tex] ............................ (2)

also

[tex]d = \frac{78.90 - n(.05)}{.10}[/tex] ............................ (3)

You can substitute for either "n" or "d" in equation (1),

Putting equation (3) into (1)

78.90 = n(.05) + [tex][\frac{78.90 - n(.05)}{.10}] .10[/tex]

78.90 = n(.05) + 78.90 - n( .05)

collecting all like terms

78.90 - 78.90 = n(.05) - n(.05)

0 = n(.05 - .05)

0/0 = n

n  is undefined

Putting equation (2) into (1)

78.90 =  [tex][\frac{78.90 - d(.10)}{.05}] .05[/tex] + d(.10)

78.90 = 78.90 - d(.10) + d(.10)

78.90 - 78.90 = - d(.10) + d(.10)

0 = d (-.10 + .10)

0/0 = d

d is also undefined