Question:
If the point (2, -2) lies on the graph of linear equation, 5x + 4y = 4, find the value of k.
Solution:
It is given that the point (2,-2) lies on the given equation, 5x + ky = 4
Clearly, the given point is the solution of the given equation.
Now, Substituting x = 2 and y = - 2 in the given equation, we get 5x + ky = 4
5 × 2 + (- 2) k = 4
2k = 10 – 4
2k = 6
k = 6/2
k = 3