972. I went through this in school long ago. I think it is already in its standard form
Answer:
The system of equations has one solution at (-4, 4).
Step-by-step explanation:
We are given the system of equations:
![\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cleft%20%5C%7B%20%7B%7B5x%2B9y%3D16%7D%20%5Catop%20%7Bx%2B2y%3D4%7D%7D%20%5Cright.)
We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.
![-5\times(x+2y=4) \rightarrow -5x - 10y = -20](https://tex.z-dn.net/?f=-5%5Ctimes%28x%2B2y%3D4%29%20%5Crightarrow%20-5x%20-%2010y%20%3D%20-20)
Therefore, our system now becomes:
![\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cleft%20%5C%7B%20%7B%7B5x%2B9y%3D16%7D%20%5Catop%20%7B-5x-10y%3D-20%7D%7D%20%5Cright.)
Now, we can add these two equations together and solve for y.
![\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4](https://tex.z-dn.net/?f=%5Cdisplaystyle%285x%20%2B%209y%29%20%2B%20%28-5x%20-%2010y%29%20%3D%200%20-%20y%5C%5C%5C%5C16%20%2B%20%28-20%29%20%3D%20-4%5C%5C%5C%5C-y%20%3D%20-4%5C%5C%5C%5C%5Cfrac%7B-y%7D%7B-1%7D%3D%5Cfrac%7B-4%7D%7B-1%7D%5C%5C%5C%5Cy%20%3D%204)
Now, we can substitute our value for y into one of the equations and solve for x.
![x+2(4)=4\\\\x + 8 = 4\\\\x = -4](https://tex.z-dn.net/?f=x%2B2%284%29%3D4%5C%5C%5C%5Cx%20%2B%208%20%3D%204%5C%5C%5C%5Cx%20%3D%20-4)
Therefore, our final solution is (-4, 4).
Answer: c=36
Step-by-step explanation: c/4-5=4
Add 5 to 4
c/4=9
9 divided by 1/4
C= 36
Hey there! Let’s solve the question first.
(6^4)^-3= 4.593 or 4.6
The reason behind this, 6^4=1296^-3
And 1269^-3= 4.593 or 4.6
Hope this helps!