Answer: k= -1.4
Step-by-step explanation:
To find : The value of k so that the point A (5, 6) belongs to the graph of the equation 2y+kx=5.
For that , we substitute (x,y) = (5,6) i.e. x= 5 and y=6 , we get
[tex]2(6)+k(5)=5\\\\\Rightarrow\ 12+5k=5[/tex]
Subtract 12 from both the sides ,we get
[tex]5k=-7\\\\\Rightarrow\ k=\dfrac{-7}{5}=-1.4[/tex] (Divide both sides by 5)
Hence, the required value of k= -1.4
