Answer:
x= -4, y = 4.
Step-by-step explanation:
first, divide the first equation by its G.C.D (5), to obtain its simplest form.
5x/5 + 5y/5 = 0/5 to obtain x + y = 0.
Then, find the value of y by rearranging the second equation.
y = 36 + 8x. (Rem; when 8x moves to the other side of the equation, it changes the sign)
Now substitute the value of y (36 + 8x) in the first equation which is x + y = 0.
x + 36+8x = 0
Put like terms together.
36 + 9x = 0
move 9x to the other side and change its sign.
36 = -9x
divide both sides by 9,
x = -4.
Lastly, find the value of y by replacing the value of x in either equation.
-8(-4) + y = 36
32 + y = 36
rearrange to obtain
y = 36 - 32
y = 4.