Question 122610: Which of these ordered pairs is a solution for the equation 3x-2y=6?
(a)(0,-3)
(b)(0,3)
(c)(-2,0)
(d)(-2,-3)
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!  Start with the given equation
Let's test the first possible solution (0,-3):
 Plug in  and 
 Simplify. Since the two sides of the equation are equal, this means (0,-3) is a solution to
-------Now lets test another solution-------
Let's test the second possible solution (0,3):
 Plug in and 
 Simplify. Since the two sides of the equation are not equal, this means (0,3) is not a solution to
-------Now lets test another solution-------
Let's test the third possible solution (-2,0):
 Plug in  and 
Simplify. Since the two sides of the equation are not equal, this means (-2,0) is not a solution to
-------Now lets test another solution-------
Let's test the fourth possible solution (-2,-3):
 Plug in and
 Simplify. Since the two sides of the equation are not equal, this means (-2,-3) is not a solution to
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Answer:
So the following ordered pairs are solutions to
(0,-3)
Now let's graph the equation and plot the points (0,-3), (0,3), (-2,0), and (-2,-3)
Here we can see that the point (0,-3) lie on the line (it is the green point). These are the solutions to the equation .
Notice the other possible solutions are points that do not lie on the line. Those ordered pairs do not satisfy the equation
So the answer is A)
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