Answer:
k = 0.6
Step-by-step explanation:
In this question, we need to find the value of k for the following expression. The expression is given as :
[tex]34k+\dfrac{(6.3-8.1k)}{0.9}=22[/tex]
Solving LHS first,
[tex]=34k+\dfrac{(6.3-8.1k)}{0.9}\\\\=\dfrac{30.6k+6.3-8.1k}{0.9}\\\\=\dfrac{6.3+22.5k}{0.9}[/tex]
i.e.
[tex]\dfrac{6.3+22.5k}{0.9}=22\\\\6.3+22.5k=19.8\\\\22.5k=19.8-6.3\\\\k=\dfrac{13.5}{22.5}\\\\k=0.6[/tex]
So, the value of k is 0.6.