Let's consider the first number to be
and the second number to be
. Based on the information in the problem, we can create the following equations:


Now, we can solve the equations through systems of equations. One way of doing this is by multiplying one of the equations so that there is a term in both equations which can be removed by addition or subtraction. In our case, we can multiply the entire first equation by 2 to get:
![2f + 4s = 2/tex][tex]2f + s = 14](https://tex.z-dn.net/?f=2f%20%2B%204s%20%3D%202%2Ftex%5D%3C%2Fp%3E%3Cp%3E%5Btex%5D2f%20%2B%20s%20%3D%2014)
Now, subtract
from both equations to get:


Now that we have found
, "plug" it back into an equation to find
:



Our answers are s = -4 and f = 9.
Answer: 25 nickels
Step-by-step explanation:
EQUATIONS:
quantity: n + d = 63
value: 5n + 10d = 505
-------------------------
Divide thru the 2nd equation by 5 to get:
n + 2d = 101
----------------
Subtract that from the 1st equation:
-d = -38
d = 38 (# of dimes)
---------------
Substitute that into n+d=63 to solve for "n":
n + 38 = 63
n = 25 (# of nickels)
F(5) = -4(25) - 3 = -100 -3 = -103
answer
f(5) = -103
g(-5) = 3(-5) - 1 = -15 -1 = -16
answer
g(-5) = -16
140,000,,, 50,000 is estimated
Choose number 2, it is divisible by 2,

but it is not divisible by 4, because

but

.