4.
(08.03)
Solve the system of equations and choose the correct answer from the list of options. (4 points)
2x + y = −4
y = 3x + 2
negative 6 over five comma negative 8 over 5
negative 8 over 5 comma negative 6 over 5
negative 5 over 6 comma negative 11 over 5
negative 11 over 5 comma negative 6 over 5
To solve this system of equations, we can substitute the second equation into the first equation:
2x + (3x + 2) = -4
2x + 3x + 2 = -4
5x + 2 = -4
5x = -6
x = -6/5
Now, we can substitute the value of x back into the second equation to find 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, which corresponds to the option: negative 6 over five comma negative 8 over 5.