SOLUTION: 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)

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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


==============================================================================
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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