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
Shwetank Mauria
Jun 23, 2017

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.

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