Question

How do you solve \[-v+5+6v=1+5v+3\]?

Answer 1

Hint: In this problem, we have to solve the given equation and find the value of v. We can first take the terms with v to the one side and we can take the other terms to the other side or we can add/subtract the terms on both sides to get a simplified form. Then we can simplify the resulting equation to get the value of v.

Complete step by step solution:
We know that the given equation is,
 \[-v+5+6v=1+5v+3\]
We can now rearrange by taking the terms with the variable v to the left-hand side and the remaining other terms to the right-hand side of the equation by changing the respective sign, we get
\[\Rightarrow -v+6v-5v=1+3-5\]
Now we can simplify the above step, we get
\[\Rightarrow -6v+6v=-1\]
Now we can further simplify the above step, we get
\[\Rightarrow 0=-1\]
We can see that 0 is equal to -1, which is a contradiction as we couldn’t find the variable to solve for.
Therefore, we can say that the given equation does not have a solution for the unknown variable and it is an invalid equation to solve for v.

Note: Students make mistakes while rearranging the terms by taking to the other side, we should always remember that when we take a positive term to the other side we should convert it to its negative and when we take a negative term to the other side we should convert it to its positive.