First find x and y intercepts by putting x=0 and y=0 in the equation x+4y=6.
if x = 0, y = 1.5 and if y = 0, x = 6.
Find x and y intercepts by putting x = 0 and y = 0 in the equation 3x-y=5.
if x = 0, y = -5 and if y = 0, x = 1.667.
Plot the points in the graph, the blue line denotes X+4y=6 and the green line denotes 3x-y=5.
The intersection point of both lines is (2, 1). So, the solution is x = 2 and y = 1.