Answer:
(x, y) = (-4, 4)
Step-by-step explanation:
You find the values of x and y by working the problem using any of the methods of solving simultaneous equations that you have been taught.
Here, you observe that the y-coefficients are the same in each equation. That means you can cancel the y-terms by subtracting one equation from the other.
(7x +6y) -(4x +6y) = (-4) -(8)
3x = -12 . . . . simplify
x = -4 . . . . . . divide by 3
Now, you can substitute this into either equation to find y.
4(-4) +6y = 8
6y = 24 . . . . . . . . add 16
y = 4 . . . . . . . . divide by 6
The solution to this system of equation is ...
Answer:
77
Step-by-step explanation:
I dont believe so but im not 100% sure i hoped i helped
Answer:
The equation is
6x + 12y = 48
Step-by-step explanation:
Standard form another way of writing a linear equation. It is in the form
Ax + By = C
Total amount with Samantha = $48
Single player games = $6 each
Multi player games = $12 each
Let
Number of Single player games = x
Number of Multi player games = y
The number of single player games (x) and the number of multi player games (y) Samantha can buy is
6x + 12y = 48
That is price × quantity of single player games + price × quantity of multi player games = Total amount with Samantha
Answer:
This means that the correct initial value problem for the population p(t) as a function of time is is ![P(0) = 1000](https://tex.z-dn.net/?f=P%280%29%20%3D%201000)
Step-by-step explanation:
The population of a town increases at a rate proportional to its population:
This means that this situation is modeled by the following differential equation:
![\frac{dP}{dt} = kP](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdt%7D%20%3D%20kP)
In which k is the growth rate.
By separation of variables, the solution is given by:
![P(t) = P(0)e^{kt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29e%5E%7Bkt%7D)
In which P(0) is the initial population.
Initial population of 1000.
This means that the correct initial value problem for the population p(t) as a function of time is is ![P(0) = 1000](https://tex.z-dn.net/?f=P%280%29%20%3D%201000)