{x=4

{-y=1/2x
(4,2)
(-2,4)
(2,-4)
(4,-2)

1 answer

To find the solutions of the equation, we can substitute x=4 into the given equation and solve for y.

y = -1/2 * x
y = -1/2 * 4
y = -2

So one solution of the equation is (4,-2)

To find other solutions, we can choose different values of x and solve for y.

If x=-2:

y = -1/2 * -2
y = 1

So another solution of the equation is (-2,1)

If x=2:

y = -1/2 * 2
y = -1

So another solution of the equation is (2,-1)

If x=0:

y = -1/2 * 0
y = 0

So another solution of the equation is (0,0)

Therefore, the solutions of the equation y = -1/2 * x are: (4,-2), (-2,1), (2,-1), and (0,0)