Solve the system of equations and choose the correct answer from the list of options.
2x + y = −4
y = 3x + 2
Group of answer choices
negative 6 over five comma negative 8 over 5
negative 8 over 5 comma negative 6 over 5
negative 11 over 5 comma negative 6 over 5
negative 5 over 6 comma negative 11 over 5
First, we can substitute the second equation into the first equation:
2x + 3x + 2 = -4
5x + 2 = -4
5x = -6
x = -6/5
Next, we can substitute x back into the second equation to solve for y:
y = 3(-6/5) + 2
y = -18/5 + 2
y = -18/5 + 10/5
y = -8/5
Therefore, the solution to the system of equations is x = -6/5 and y = -8/5, so the correct answer is negative 6 over 5, negative 8 over 5.