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=12 x=12 x=8 x=8 x=6 x=6 x=3
To solve this problem, we need to substitute the value of y from the first equation (-x-4) into the second equation (3x+y=8) in order to create a new equation.
First, we substitute -x-4 for y in the second equation:
3x+(-x-4)=8
Simplifying the equation:
3x-x-4=8
2x-4=8
Next, we can solve for x by isolating the variable:
2x=8+4
2x=12
x=12
Therefore, the value of x is 12.