What is the solution to the system below
2x+2y=0
x +5y+24
Responses
No Solution
(-6, 6)
(-5, 6)
(6, -6)
There are two equations in two variables. We can solve for one of the variables in terms of the other and substitute it into the other equation.
From the first equation, we get:
2x + 2y = 0
2y = -2x
y = -x
Substituting this into the second equation, we get:
x + 5y + 24 = x + 5(-x) + 24
x - 5x = -24
-4x = -24
x = 6
Substituting x = 6 into y = -x, we get:
y = -6
Therefore, the solution to the system is (6, -6).