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