Question

How do you solve \[1-m=6-6m\]?

Answer 1

Hint: From the question given, we have been asked to solve \[1-m=6-6m\].
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 solution:
From the question given, we have been given that,
 \[1-m=6-6m\].
As we have already discussed earlier, we have to make some simple transformations to the above equation to get it simplified.
Shift \[-6m\] from the right hand side of the equation to the left-hand side of the equation. By shifting \[-6m\] from right hand side of the equation to the left-hand side of the equation, we get
\[\Rightarrow 1-m+6m=6\]
Now, simplify the above equation further. By simplifying the above equation further, we get
\[\Rightarrow 1+5m=6\]
Now, Shift \[1\] from the left hand side of the equation to the right-hand side of the equation. By shifting \[1\] from left hand side of the equation to the right-hand side of the equation, we get
\[\Rightarrow 5m=6-1\]
Now, simplify the above equation further. By simplifying the above equation further, we get
\[\Rightarrow 5m=5\]
Shift \[5\] from the left hand side of the equation to the right-hand side of the equation. by shifting \[5\] from left hand side of the equation to the right-hand side of the equation, we get
\[\Rightarrow m=1\]

Note: Students 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, students should be very careful while applying the transformation to the given equation and also be very careful while doing the calculation part. We can check whether the solution we got is correct or wrong by substituting m=1 in the equation. so after substituting it we get \[\Rightarrow 1-m=6-6m\] \[\Rightarrow 1-1=6-6\] \[\Rightarrow 0=0\] hence verified.