Answer:
See method below.
Step-by-step explanation:
m/n + n/3 = 2
2/m + n = 4
First eliminate the fractions by multiplying the first equation by 3n:-
3m + n^2 = 6n...........(1)
and the second equation by m:-
2 + mn = 4m..............(2)
Now we solve using substitution:-
From equation (2):-
4m - mn = 2
m = 2 / (4 - n)
Now substitute for m in equation (1):-
6/ (4 - n) + n^2 = 6n
6 + n^2(4 - n) = 6n(4 - n)
6 + 4n^2 - n^3 = 24n - 6n^2
n^3 - 10n^2 + 24n - 6 = 0
This will not factor so we could solve this using graphical software.
To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.
Answer:
x=9/y
Step-by-step explanation:
1)divide both sides by (2y)/3
2/3xy/2y/3=6/2y/3
x=9/4
Answer:
B, C, D
Step-by-step explanation:
Given expression ![35+30s-45t](https://tex.z-dn.net/?f=35%2B30s-45t)
Note that
![35=5\cdot 7\\ \\30=5\cdot 6\\ \\45=5\cdot 9](https://tex.z-dn.net/?f=35%3D5%5Ccdot%207%5C%5C%20%5C%5C30%3D5%5Ccdot%206%5C%5C%20%5C%5C45%3D5%5Ccdot%209)
Use distributive property:
![35+30s-45t\\ \\=5\cdot 7+5\cdot 6s-5\cdot 9t\\ \\=5(7+6s-9t)](https://tex.z-dn.net/?f=35%2B30s-45t%5C%5C%20%5C%5C%3D5%5Ccdot%207%2B5%5Ccdot%206s-5%5Ccdot%209t%5C%5C%20%5C%5C%3D5%287%2B6s-9t%29)
Thus, choice B is true.
Rewrite given expression in following way:
![35+30s-45t\\ \\=-(-35)-(-30s)+(-45t)\\ \\-(-1)\cdot 35-(-1)\cdot 30s+(-1)\cdot 45t\\ \\=(-35-30s+45t)\cdot (-1)](https://tex.z-dn.net/?f=35%2B30s-45t%5C%5C%20%5C%5C%3D-%28-35%29-%28-30s%29%2B%28-45t%29%5C%5C%20%5C%5C-%28-1%29%5Ccdot%2035-%28-1%29%5Ccdot%2030s%2B%28-1%29%5Ccdot%2045t%5C%5C%20%5C%5C%3D%28-35-30s%2B45t%29%5Ccdot%20%28-1%29)
Thus, choice C is true.
Rewrite given expression in following way:
![35+30s-45t\\ \\=10\cdot 3.5+10\cdot 3s-10\cdot 4.5t\\ \\=10\cdot (3.5+3s-4.5t)](https://tex.z-dn.net/?f=35%2B30s-45t%5C%5C%20%5C%5C%3D10%5Ccdot%203.5%2B10%5Ccdot%203s-10%5Ccdot%204.5t%5C%5C%20%5C%5C%3D10%5Ccdot%20%283.5%2B3s-4.5t%29)
Thus, choice D is true.