Question

How do you solve $ - m - 9m = 10$?

Answer 1

Hint: In this question, we want to solve the linear equation of one variable. A linear equation of one variable can be written in the form $ax + b = c$. Here, a, b, and c are constants. And the exponent on the variable of the linear equation is always 1. To solve the linear equation, we have to remember that addition and subtraction are the inverse operations of each other. For example, if we have a number that is being added that we need to move to the other side of the equation, then we would subtract it from both sides of that equation.

Complete step-by-step answer:
In this question, we want to solve the linear equation of one variable.
The given equation is,
$ \Rightarrow - m - 9m = 10$
Here, there are terms on the left-hand side. So, we directly apply the operation.
Let us add the coefficients of m on the left-hand side. The coefficient of the first term is -1 and the coefficient of the second term is -9. So, the addition of -1 and -9 is -10.
Therefore,
$ \Rightarrow - 10m = 10$
Now, let us divide both sides by 10.
$ \Rightarrow - \dfrac{{10m}}{{10}} = \dfrac{{10}}{{10}}$
 The division of 10 and 10 is 1 on the left-hand side. And the division of 10 and 10 is 1 on the right-hand side.
That is equal to,
$ \Rightarrow - m = 1$
Let us multiply with -1.
 $ \Rightarrow - m\left( { - 1} \right) = 1\left( { - 1} \right)$
That is equal to,
$ \Rightarrow m = - 1$
Hence, the solution of the given equation is -1.

Note:
Let us verify the answer.
$ \Rightarrow - \left( { - 1} \right) - 9\left( { - 1} \right) = 10$
That is equal to,
$ \Rightarrow 1 + 9 = 10$
Let us apply addition on the left-hand side.
$ \Rightarrow 10 = 10$
Hence, the answer we get is correct.