Identify the solution(s) of the system of equations, if any.

Question

-6x-2y=12
4y=-12x-24

a. no solution
b. (0,-2)
c.(-2,0)
d.infinitely many solutions

Answer 1

Eq1:-6x - 2y = 12
Eq2:12x - 4y = -24
Multiply Eq1 by -4 and Eq2 by 2:
24x + 8y = -48
24x - 8y = -48
Add the Eqs:
48x = -96
X = -2.

In Eq1, replace X with -2:
-6*(-2) - 2y = 12
12 - 2y = 12
-2y = 12-12 = 0
Y = 0

(-2,0).