Solve the system for x and y:

Question

asked Feb 11, 2024 53.4k views

1 Answer

Arseniyandru · Answer 1 · 2024-02-17T22:26:54+0000

Answer:

x = 6, y = -3

Explanation:

$(x)/(y + 1) = -3\\(y)/(x-3) = -1$

x = -3(y+1) - Isolate for x or y (I chose x)

x = -3y -3

Plug in x into y

$(y)/(x-3) = -1\\(y)/((-3y -3) - 3) = -1\\(y)/(-3y -6) = -1\\y = -1(-3y - 6)\\y = 3y + 6\\-2y = 6\\y = -3$

Plug y back into equation

$(x)/(y+ 1) = -3\\(x)/((-3)+ 1) = -3\\(x)/(-2) = -3\\x = -3(-2)\\x = 6$