No.1
Set those two equations equal to each other.
-7/4 x - 4 = -1/4 x + 2
x on one side, constant on other side.
-6/4 x = 6
x = -4
now put x value into any of the two equations given
y = -7/4 * -4 - 4 = 7 - 4 = 3
(-4,3)
No.2
Set those two equations equal to each other.
x + 2 = -1/5 x - 4
x on one side, constant on other side.
6/5 x = -6
x = -5
now put x value into any of the two equations given
y = -5 + 2 = -3
(-5,-3)