Answer:
The system is:
x + y = 8
x - y = -14
And the solution is:
x = -3
y = 11
Step-by-step explanation:
We have two numbers x and y, such that:
x + y = 8 (the sum is equal to 8)
x - y = -14 (the difference is equal to -14)
This is the system of equations we need to solve.
To solve the system, we first need to isolate one of the variables in one of the equations, I will isolate x in the first equation:
x = 8 - y
Now we can replace this in the other equation to get:
(8 - y) - y = -14
8 - 2*y = -14
8 + 14 = 2*y
22 = 2*y
22/2 = y
11 = y
Now we can replace this in the equation "x = 8 - y"
To get:
x = 8 - 11 = -3
Then the solution to the system is:
x = -3 and y = 11
Answer:
Option c. 30,000
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form 
or 
Let
y ----> safe load in pounds
x ----> length in feet of a horizontal beam
we have
For 
Remember that
substitute
The buyer will be paying taxes for 185 days, so will pay
... (185/365)·$8200 = $4156
Your most appropriate choice seems to be $4178, which corresponds to 186 days' taxes.
_____
There are 30 days in each month in the last half of the year, plus 1 additional day in each of July, August, October, and December. The 30th of June also belongs to the buyer (but the 29th, closing day, does not), so there are 180+5 = 185 days for which the buyer must pay taxes. The answer choices don't include that value.
Jeremy=x
Older sister=x+5
younger sister=x+5-9 or x-4
x+(x+5)+(x-4)=49
combine like terms
3x+5-4=49
3x+1=49
subtract 1 from both sides
3x=48
divide both sides by 3
x=16
Jeremy=16
Older sister=16+5=21
younger sister =16-4 or 16+5-9=12
J=16
OS=21
YS=12
