Answer:
A. 2x + 150y = 1,500
2x + 120y = 1,320
The flights were $300 each, and they stayed 6 nights.
B. $1,380
Step-by-step explanation:
Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.
A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights. Brenda's total is $1,500, then

Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights. Brenda's friend total is $1,320, then

Subtract two equations:

Substitute into the first equation:

Hence
2x + 150y = 1,500
2x + 120y = 1,320
The flights were $300 each, and they stayed 6 nights.
B. If a third friend joined them and stayed in a mid-range room for $130 per night, then he paid 
The total cost is

Answer:
-.2857
Step-by-step explanation:
We simplify the equation to the form, which is simple to understand
5(3+k)=45
Reorder the terms in parentheses
+(+15+5k)=45
Remove unnecessary parentheses
+15+5k=+45
We move all terms containing k to the left and all other terms to the right.
+5k=+45-15
We simplify left and right side of the equation.
+5k=+30
We divide both sides of the equation by 5 to get k.
k=6
The following are the factors of 14xy⁴:
2, 7, 14, x, y, y², y³, y⁴, xy, xy², xy³, xy⁴, 2x, 2y, 2y², 2y³, 2y⁴, 2xy, 2xy², 2xy³, 2xy⁴, 7x, 7y, 7y², 7y³, 7y⁴, 7xy, 7xy², 7xy³, 7xy⁴, 14x, 14y, 14y², 14y³, 14y⁴, 14xy, 14xy², 14xy³
I did not list the original monomial, as we know it is a factor of itself.