Transcript text: $0.3 x y z+h k l=g(e r t+5)$; solve for $k$
Solution
Solution Steps
Step 1: Rearranging the Equation
We start with the equation \( 0.3xyz + hkl = g(ert + 5) \). To isolate \( k \), we rearrange the equation to move all other terms to one side:
\[
hkl = g(ert + 5) - 0.3xyz
\]
Step 2: Isolating \( k \)
Next, we divide both sides of the equation by \( hl \) to solve for \( k \):
\[
k = \frac{g(ert + 5) - 0.3xyz}{hl}
\]
Step 3: Final Expression for \( k \)
This can be simplified to:
\[
k = \frac{gert + 5g - 0.3xyz}{hl}
\]
Final Answer
Thus, the solution for \( k \) is given by:
\[
\boxed{k = \frac{gert + 5g - 0.3xyz}{hl}}
\]