Question

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

Answer 1

The answer is C

Explanation:

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

Answer 2

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

Explanation:

The first system is

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

We substitute x=-3 and y=-3

`-3-5*-3=12\\e-12` and
`3*-3+2*-3=-15`

Both equations are not satisfied

The next system is

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

We substitute x=-3 and y=-3

`-3-5*-3=12` and
`3*-3+2*-3=-15\\e15`

Both equations are satisfied

The next system is

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

We substitute x=-3 and y=-3

`-3-5*-3=12\\e12` and
`3*-3+2*-3=-15`

Both equations are not satisfied

The next system is

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

We substitute x=-3 and y=-3

`-3-5*-3=12\\e-12` and
`3*-3+2*-3=-15`

Both equations are not satisfied