Question

Which of the ordered pairs is a solution for the equation 2x – 3y = 6: A) (0, 2) B) (–3, 0) C) (–3, –2) D) (0, –2)?

Answer 1

D `(0,-2)`

Explanation:

The graph of `2x-3y=6` and the given four points appears as follows:

graph{(2x-3y-6)(x^2+(y-2)^2-0.03)((x+3)^2+y^2-0.03)((x+3)^2+(y+2)^2-0.03)(x^2+(y+2)^2-0.03)=0 [-5.04, 14.96, -4.44, 5.56]}

As is seen only `D(0,-2)` falls on the line.

One can also verify by putting the values of `x` and `y` coordinates of the points in equation `2x-3y=6` and as is seen only `(0,-2)` satisfies it.

`2xx0-3xx(-2)=6` and for others equality does not hold.