Question

What is the solution to the system below

2x+2y=0
x +5y+24
Responses

No Solution

(-6, 6)

(-5, 6)

(6, -6)

Answer 1

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).