The solution to a system of linear equations is (-3,-3) Which system of linear equations has this point as its solution? x -5y=-12 and 3x +2y=-15 x -5y=-12 and 3x +2y=15 x -5y=12 and 3x +2y=-15x -5y=12 and 3x +2y=15

Respuesta :

Answer:

[tex]x-5y=12[/tex] and [tex]3x+2y=-15[/tex]

Step-by-step explanation:

The first system is

[tex]x-5y=-12[/tex] and [tex]3x+2y=-15[/tex]

We substitute x=-3 and y=-3

[tex]-3-5*-3=12\ne-12[/tex] and [tex]3*-3+2*-3=-15[/tex]

Both equations are not satisfied

The next system is

[tex]x-5y=12[/tex] and [tex]3x+2y=-15[/tex]

We substitute x=-3 and y=-3

[tex]-3-5*-3=12[/tex] and [tex]3*-3+2*-3=-15\ne15[/tex]

Both equations are satisfied

The next system is

[tex]x-5y=-12[/tex] and [tex]3x+2y=15[/tex]

We substitute x=-3 and y=-3

[tex]-3-5*-3=12\ne12[/tex] and [tex]3*-3+2*-3=-15[/tex]

Both equations are not satisfied

The next system is

[tex]x-5y=12[/tex] and [tex]3x+2y=15[/tex]

We substitute x=-3 and y=-3

[tex]-3-5*-3=12\ne-12[/tex] and [tex]3*-3+2*-3=-15[/tex]

Both equations are  not satisfied

Answer:

The answer is C

Step-by-step explanation:

x-5y=12 and 3x + 2y =15