Sarah is renting a cabin for vacation and has two choices. Cabin Arents for $100 per day and has a
$50 insurance fee. Cabin B rents for $120 per day and has a $10 insurance fee. Which system of
equations below will determine when the two choices will have the same cost?

x = 2   days

y = 250  $

Step-by-step explanation:

We call "y"  total renting costs  and  "x" total vacation days

according to that in first case we have:

y  =  100*x  + 50

And for the second case

y  =  120*x +  10               (1)

That two equation system represent the equation system of the situation, therefore if we solve that system we will determine the choises with same costs

equating these two equations:

100*x  +  50  =  120*x + 10

50 - 10  = 120*x - 100*x

20*x = 40

x = 2   days

Plugging that value in any of the equation (1) or (2) we get y value

y  =  120*2  +  10

y = 250  $

Step-by-step explanation:

4x + 19 + 3x = - 5

4x + 3x + 19 = - 5 collect the like terms

7x + 19 = - 5

7x = - 5 - 19 bring 19 to the right

7x/ 7x = - 24/ 7

x = - 3.4

I hope this answers your question