Question

How do you solve \[12v+14+10v=80\]?

Answer 1

Hint: From the question given, we have been asked to solve \[12v+14+10v=80\]. We can solve the given equation from the question by using some simple transformations. By using the simple transformations to the given equation, we get the equation simplified and then we can solve the equation very easily.

Complete step by step answer:
From the question given, we have been given that \[12v+14+10v=80\]
We have to make some simple transformations to the above equation to get it simplified.
Shift \[14\] from the left hand side of the equation to the right hand side of the equation. By shifting \[14\] from left hand side of the equation to the right hand side of the equation, we get \[\Rightarrow 12v+10v=80-14\]
Now, simplify the above equation further. By simplifying the above equation further, we get
\[\Rightarrow 12v+10v=66\]
In the left hand side of the above equation, we can clearly see that there is a variable common in both the terms.
So, we know that if the variable is common in the terms, we can simply add the constants.
By doing this, we get \[\Rightarrow 22v=66\]
Shift \[22\] from the left hand side of the equation to the right hand side of the equation. By shifting \[22\] from left hand side of the equation to the right hand side of the equation, we get
\[\begin{align}
  & \Rightarrow v=\dfrac{66}{22} \\
 & \Rightarrow v=3 \\
\end{align}\]
Therefore, the given equation is solved.

Note:
We should be well aware of the transformations that have to be made to the given question to get the given question simplified very easily. Also, we should be very careful while applying the transformation to the given equation and also be very careful while doing the calculation part. Similarly we can solve \[5v+7+8v=8\] as $13v+7=8\Rightarrow 13v=1\Rightarrow v=\dfrac{1}{13}$ .