Answer:
x=-2, y=-2. (-2, -2).
Step-by-step explanation:
2x-5y=6
-2x+10y=-16
-------------------
5y=-10
y=-10/5=-2
2x-5(-2)=6
2x+10=6
2x=6-10
2x=-4
x=-4/2=-2
Answer:
Neither
Step-by-step explanation:
First, you need to put your equations in y=mx+b form
Your first equation...
5x + 4y = 3
4y = 3-5x
y = -5/4x + 3/4
Your second equation...
5x-4y = -3
-4y = -5x -3
y = 5/4x + 3/4
The slopes aren't the same and are not reciprocals, so the answer would be neither.
Answer:
A. 7 years old
Step-by-step explanation:
6x-7=35 is the equation.
Add 7 to both sides, which gives you 6x=42.
Then both sides by 6, so 6/6=x and 42/6=7
So, x=7.
Since x is his daughter's age, x=7, so his daughter is 7.
Answer:
7/10 of the team showed up
Step-by-step explanation:
If you do in fact mean 
(as opposed to one of these being the derivative of 
at some point), then integrating twice gives
From the initial conditions, we find
Eliminating 
, we get
![C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)](https://tex.z-dn.net/?f=C_1%20%3D%20-%5Cdfrac%7B%5Cln%286%29%7D5%20%3D%20-%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29%20%5Cimplies%20C_2%20%3D%20%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29)
Then
![\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}](https://tex.z-dn.net/?f=%5Cboxed%7Bf%28x%29%20%3D%20%5Cln%7Cx%7C%20-%20%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29%5C%2Cx%20%2B%20%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29%7D)
