Answer:
35
Each sequence has a difference of eight numbers so we add 8 numbers in each sequence
Rewrite equation so that it is homogeneous .

Solve characteristic equation:
The solutions to the homogeneous equation are:

Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
Answer:
9 quarters
Step-by-step explanation:
From the question
Jesse has $3.40 in quarters and nickels
Quarters = q = number of quarters
1 quarter = $0.25
nickels = n = number of nickels
1 nickel = $0.05
Hence,
0.25q + 0.05n = $3.40 .......Equation 1
The number of nickels is 5 more than 2 times the number of quarters.
n = 2q + 5
0.25q + 0.05n = $3.40 .......Equation 1
0.25q + 0.05(2q + 5) = 3.40
0.25q + 0.10q + 0.25= 3.40
0.35q = 3.40 - 0.25
0.35q = 3.15
q = 3.15/0.35
q = 9
Therefore, Jessie has 9 quarters.
-2.5 and 4
You can get this by factoring to the equation (2x + 5)(x - 4)