Question

Decide whether the given ordered pair is a solution to the system of equations.

-5x+y=12
y=-x
(-2,2)

Answer 1

`- 5x + y = 12`

Add both sides 5x

`- 5x + 5x + y = 5x + 12`

`y = 5x + 12`

&

`y = - x`

Thus :

`- x = 5x + 12`

Add both sides x

`- x + x = 5x + x + 12`

`0 = 6x + 12`

Subtract both sides 12

`0 - 12 = 6x + 12 - 12`

`- 12 = 6x`

Switch sides

`6x = - 12`

Divide both sides by 6

`(6x)/(6) = ( - 12)/(6) \\`

`x = - 2`

We found the x-coordinate of the solution point ; to find the y-coordinate we just need to put the value of x in one 0f the given equations :

`y = - ( - 2)`

`y = 2`

Thus ( - 2 , 2 ) is the solution to this system of equations.

Answer 2

no

Explanation:

Doesn't add to 12