Answer:
[tex]\huge\boxed{\sf k = 2}[/tex]
Step-by-step explanation:
Coordinate = (x,y) = (2k-1,k)
This means that:
x = 2k - 1 and y = k
Put it in the given equation: 5x - 4y = 7
5(2k-1) - 4k = 7
10k - 5 - 4k = 7
6k - 5 = 7
Adding 5 to both sides
6k = 7+5
6k = 12
Divide both sides by 6
k = 2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
