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5 votes
5 votes
Solve for z. zx+y=dx

User Ibe Vanmeenen
by
2.3k points

1 Answer

25 votes
25 votes

According to the given data we have the following equation:

zx+y=dx

To solve for the variable z the equation we would make the following steps:


\begin{gathered} \text{First, }\mathrm{Subtract\: }y\mathrm{\: from\: both\: sides} \\ zx+y-y=dx-y \end{gathered}

Next we would have to simplify the equation above, so:


\begin{gathered} zx+y-y=dx-y \\ zx=dx-y \end{gathered}
\begin{gathered} \text{Next, }\mathrm{Divide\: both\: sides\: by\: }x;\quad \: x\\e\: 0 \\ (zx)/(x)=(dx)/(x)-(y)/(x);\quad \: x\\e\: 0 \end{gathered}

Therefore, the final result by dividing bith sides by x we would get the following for z:


z=(dx-y)/(x)

User TheUg
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