I'll assume the ODE is

Solve the homogeneous ODE,

The characteristic equation

has roots at
and
. Then the characteristic solution is

For nonhomogeneous ODE (1),

consider the ansatz particular solution

Substituting this into (1) gives

For the nonhomogeneous ODE (2),

take the ansatz

Substitute (2) into the ODE to get

Lastly, for the nonhomogeneous ODE (3)

take the ansatz

and solve for
.

Then the general solution to the ODE is

For every value tht x increases, y decreases by 3
-3x
Then to find the y intercept, look at 0's corresponding value (8)
-3x+8
A=adult tickets
c=chlderenticekts
s=sinior tickets
a=c
a+c+s=120
2a+s=120
total made is 1100
12a+6c+10s=1100
sub
a=c
12a+6a+10s=1100
add
18a+10s=1100
multiply first equation by -9 and add to other equation
-18a-9s=-1080
18a+10s=1100 +
0a+s=20
s=20
20 senior tickets were sold
answer is B
Answer:
214 miles
Step-by-step explanation:
To find the difference between miles already traveled and total miles you need to travel, you subtract ...
345 miles - 131 miles = 214 miles
You must travel 214 more miles to complete your 345 mile journey.