Answer:
Step-by-step explanation:
(A) The given equation is:
![2c+5(c-5)=10](https://tex.z-dn.net/?f=2c%2B5%28c-5%29%3D10)
Upon solving the above equation, we get
![2c+5c-25=10](https://tex.z-dn.net/?f=2c%2B5c-25%3D10)
![7c=35](https://tex.z-dn.net/?f=7c%3D35)
![c=5](https://tex.z-dn.net/?f=c%3D5)
Thus, the value of c is 5 and the option (C) is correct.
(B) The given expression is:
![4x-8-4x=9](https://tex.z-dn.net/?f=4x-8-4x%3D9)
Upon solving the above equation, we get
![-8=9](https://tex.z-dn.net/?f=-8%3D9)
which is not possible, therefore there are zero solution of the given equation.
Hence, option (A) is correct.
(C) The given equation is:
![3(4x+5)=12](https://tex.z-dn.net/?f=3%284x%2B5%29%3D12)
Upon solving the above equation, we get
Step 1. ![12x+15=12](https://tex.z-dn.net/?f=12x%2B15%3D12)
Step 2 ![12x=-3](https://tex.z-dn.net/?f=12x%3D-3)
Thus, option A is correct.
(D) The given equation is:
![3y-8=22](https://tex.z-dn.net/?f=3y-8%3D22)
Upon solving the above equation, we get
⇒![3y=30](https://tex.z-dn.net/?f=3y%3D30)
⇒![y=10](https://tex.z-dn.net/?f=y%3D10)
Hence, option (C) is correct.
(E) The given equation is:
⇒![2(3y-6)=0](https://tex.z-dn.net/?f=2%283y-6%29%3D0)
⇒![6y-12=0](https://tex.z-dn.net/?f=6y-12%3D0)
⇒![6y=12](https://tex.z-dn.net/?f=6y%3D12)
⇒![y=2](https://tex.z-dn.net/?f=y%3D2)
Hence, option C is correct.