Part A

Question

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

y=−x−4


3x+y=8


Choose the correct option

(1 point)
Responses

x=8
x=8

x=6
x=6

x=12
x=12

x=3

Answer 1

To find the value of x, we can substitute the value of y from the first equation, which is y = -x - 4, into the second equation.

3x + (-x - 4) = 8

Simplifying the equation further:

2x - 4 = 8

Adding 4 to both sides of the equation:

2x = 12

Dividing both sides of the equation by 2:

x = 6

Therefore, the value of x is 6.

The correct option is x = 6

Answer 2

The solution to the original system of equations
a solution to the new equation.

Answer 3

The original system of equations is:

y = -x - 4
3x + y = 8

By substituting the value of y from the first equation into the second equation, we get:

3x + (-x - 4) = 8

Simplifying the equation:

2x - 4 = 8

Adding 4 to both sides of the equation:

2x = 12

Dividing both sides of the equation by 2:

x = 6

The value of x we obtained, x = 6, is a solution to the new equation.