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23 votes
23 votes
Slove equations with variables on both sides-4k - 10 = -5k

User Pixel Elephant
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1 Answer

27 votes
27 votes

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

User David SN
by
3.3k points
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