From the following system of equations, create a new equation by substituting the value of y from the first equation into the second equation.

Question

​From the new equation, evaluate the value of x.

y=−x−4


3x+y=8


Choose the correct option

(1 point)
Responses

x=6
x=6

x=8
x=8

x=3
x=3

x=12

Answer 1

To substitute the value of y from the first equation into the second equation, we replace y with (-x-4). The second equation becomes:

3x + (-x-4) = 8

Simplifying this equation further, we get:

2x - 4 = 8

Adding 4 to both sides of the equation, we have:

2x = 12

Dividing both sides of the equation by 2, we find:

x = 6

Therefore, the correct answer is x=6.

Answer 2

is this correct

Answer 3

Yes, that is correct. My previous response contains the correct steps to solve the given system of equations and evaluate the value of x as x=6.