Question

How do you solve \[\dfrac{x}{2} = - 10\]?

Answer 1

Hint: In the given problem we need to solve this for ‘x’. We can solve this using the transposition method. The common transposition method is to do the same thing (mathematically) to both sides of the equation, with the aim of bringing like terms together and isolating the variable (or the unknown quantity).

Complete step-by-step solution:
Given \[\dfrac{x}{2} = - 10\].
Here we need the value of ‘x’.
Since the unknown variable is in the left hand side of the equation, we transpose all the numbers to the right hand side of the equation.
We transpose 2 to the right hand side of the equation by multiplying ‘2’ on the right hand side of the equation.
\[ \Rightarrow x = - 10 \times 2\]
We also know that the product of the negative number and the positive number results in giving the negative number.
\[ \Rightarrow x = - 20\]
Note: We can check whether the obtained answer is correct or not. All we need to do is substitute the obtained value in the given problem.
\[\dfrac{{ - 20}}{2} = - 10\]
\[ \Rightarrow - 10 = - 10\]. Hence the obtained answer is correct.

Note: We can check whether the obtained answer is correct or not. All we need to do is substitute the obtained value in the given problem.
\[\dfrac{{ - 20}}{2} = - 10\]
\[ \Rightarrow - 10 = - 10\].
Hence the obtained answer is correct.

We want to transpose the addition number to any side of the equation. We subtract it with the same number on both sides of the equation. Similarly if we want to transpose the negative number to any side of the equation we add with the same number on both sides of the equation. Similarly if we have multiplication we use division to transpose. If we have division we use multiplication to transpose. Follow the same procedure for these kinds of problems.