Explanation:
come on ! find yourself 2 points on each of the two lines, and then draw them.
the first point for every line is for me always the point with x = 0 (the y-axis intercept).
so, the first line has a point (0, -1)
because y = -1/5 × 0 - 1 = -1
and the second line has (0, -6)
because y = 4/5 × 0 - 6 = -6
for the second point I select an x value that eliminates the fractions and allows me to deal with integers.
and that is in both cases x = 5.
so, the second point of the first line is then (5, -2)
because y = -1/5 × 5 - 1 = -1 - 1 = -2
and the second point of the second line is (5, -2)
because y = 4/5 × 5 - 6 = 4 - 6 = -2
and so, I have accidentally already found the solution of this system of 2 equations, as the solution is the crossing point between both lines (= the point they both contain).
and that is a we can see, (5, -2) ...