Solve the system of equations and choose the correct answer from the list of options. x − y = 7 y = 3x + 12 2 over 19 comma 2 over 33 negative 2 over 19 comma negative 33 over 2 negative 19 over 2 comma negative 33 over 2 19 over 2 comma 33 over 2

[tex]x - y = 7 \\ y = 3x + 12[/tex]

First
[tex]x - y = 7 \\ x = 7 + y[/tex]
Substitute that into
[tex]y = 3(7 + y) + 12 \\ y = 21 + 3y + 12 \\ 2y = - 33 \\ y = - \frac{33}{2} [/tex]
Substitute that into
[tex]x = 7 + ( - \frac{33}{2} ) \\ x = \frac{14}{2} - \frac{33}{2} \\ x = - \frac{19}{2} [/tex]
x = -19/2, y = -33/2

Hope this helps. - M