Question

The solution to a system of linear equations (-3,-3) which system of linear equations has this point as its solution?

Answer 1

C

Explanation:

I took the quiz

Answer 2

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

Explanation:

Given

See attachment

Required

Which options has the solution:
`(x,y) = (-3,-3)`

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

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

`x - 5y =-12`

`-3 - 5*-3 = -12`

`-3 + 15 = -12`

`12 \\e -12`

This is not a solution

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

As shown in (a), (-3,-3) is not true for
`x - 5y =-12`

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

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

`x - 5y =12`

`-3 - 5(-3) = 12`

`-3 + 15 = 12`

`12 = 12`

`3x + 2y =-15`

`3(-3) + 2(-3) = -15`

`-9 - 6 = -15`

`-15 = -15`

Hence,

(-3,-3) is true for
`x - 5y =12` and
`3x + 2y =-15`