Q:

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

Accepted Solution

A:
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 satisfiedThe 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 satisfiedThe 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 satisfiedThe 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