Question

slove equations with variables on both sides-4k - 10 = -5k

Answer 1

We will investigate how to solve an equation consisting of one variable

We have the following equation at hand:

$-4k\text{ -10 = -5k}$

The basic rule applied in solving equation like above is mathematical operations. We apply basic operations like:

$\text{adding, subtracting, multiplying, division}$

on both sides of the equation accompained by a variable or a number in an attempt to isolate the variable ( k ).

To isolate the variable ( k ) we need all the terms involving the variable ( k ) on one side of the equation.

We will add ( 4k ) on both sides of the equation as follows:

$\begin{gathered} -4k\text{ -10 + 4k= -5k + 4k} \\ (\text{ 4k - 4k ) - 10 = -k} \\ -10\text{ = -k} \end{gathered}$

Now to remove the negative sign accompained by ( k ) on the right hand side of the equation. We wil multiply both sides with ( -1 ) as follows:

$\begin{gathered} -1\cdot(-10)\text{ = -1}\cdot(-k) \\ 10\text{ = k} \end{gathered}$

Hence, the value of ( k ) is:

$10$