Complete the ordered pairs so they are solutions of the equation -3x-6y=18

Question

Fill in the blank:

(  , 0 )

( 0 ,  )

(  , -3 )

Answer 1

By plugging in the x or y values, we can find the other coordinate's value.

-3x-6y = 18

For (_, 0):

-3x - 6*0 = 18

-3x = 18

x = -6

Ordered Pair: (-6, 0)

For(0, _):

-3*0 - 6y = 18

-6y = 18

y = -3

Ordered Pair: (0,-3)

For(_, -3):

-3x -6*-3 = 18

-3x + 18 = 18

-3x = 0

x = 0

Ordered Pair(0, -3)

Answer 2

We can plug in the values given to us in the coordinate pairs, and then solve for the remaining unknown variable in each case. I will do the first one and let you take it from there.

We have -3x - 6y = 18

For the first pair, we are given (x,y) = (x,0)

Plugging this into the equation we get,

-3x - 6(0) = 18

-3x - 0 = 18

-3x = 18

x = -18/3

x = -6

So the missing x coordinate in x = -6 or (-6,0)