Y - 2x = 8 . . . . (1)
16 + 4x = 2y . . (2)
From (1), y = 2x + 8 . . . (3)
Putting (3) into (2) gives
16 + 4x = 2(2x + 8) = 4x + 16
0 = 0
Therefore, there are infinite number of solutions.
Divide top and bottom by any number that's fits into both of them keep doing that until it's not possible Hope that helped Have a good day! :-)
Answer:
The actual distance between the historical markers is 18 miles.
Step-by-step explanation:
Given : On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles.
To find : What is the actual distance between the historical markers?
Solution :
We have given that,
2.5 inches represents 10 miles.
i.e, 1 inch represent
miles.
1 inch = 4 miles.
Now, The distance between two historical markers is 4.5 inches.
The actual distance between the historical markers in 4.5 inch is


Therefore, The actual distance between the historical markers is 18 miles.
Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).
= P(x) divided by 
Step 1: Find a
To find a we will have to convert (x+2) into (x - a) form
i.e. (x+2) = (x - (-2))
therefore, a = -2
Step 2: Substitute value of a in P(x),
By substitution we get,

= 
= 
=
= Remainder
Hence, Remainder is 55.