Answer:
Step-by-step explanation:
Inpert
Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:
![\frac{sin(u)cos(v)-sin(v)cos(u)}{sin(u)cos(v)}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28u%29cos%28v%29-sin%28v%29cos%28u%29%7D%7Bsin%28u%29cos%28v%29%7D)
Split the fraction:
![\frac{sin(u)cos(v)}{sin(u)cos(v)} - \frac{sin(v)cos(u)}{sin(u)cos(v)} =](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28u%29cos%28v%29%7D%7Bsin%28u%29cos%28v%29%7D%20-%20%5Cfrac%7Bsin%28v%29cos%28u%29%7D%7Bsin%28u%29cos%28v%29%7D%20%3D)
First fraction reduces to 1:
![1 - \frac{sin(v)cos(u)}{sin(u)cos(v)} =](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7Bsin%28v%29cos%28u%29%7D%7Bsin%28u%29cos%28v%29%7D%20%3D)
Simpify each with common arguments:
![1 - tan(v)cot(u)](https://tex.z-dn.net/?f=1%20-%20tan%28v%29cot%28u%29)
Answer:
x=17/3, y=59. (17/3, 59).
Step-by-step explanation:
y=6x+25
y=12x-9
--------------
6x+25=12x-9
12x-6x-9=25
6x-9=25
6x=25+9
6x=34
x=34/6=17/3
y=12(17/3)-9=4*17-9=68-9=59
Answer:
2 thirds divided by 1 fourth equals 8 thirds