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)?

1 Answer
Jun 23, 2017

D (0,2)

Explanation:

The graph of 2x3y=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 2x3y=6 and as is seen only (0,2) satisfies it.

2×03×(2)=6 and for others equality does not hold.