SOLUTION: Which of the ordered pairs (3, 1), (0, –4), (–4, 0), (–3, –7)are solutions for the equation x – y = 4?

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Question 112863: Which of the ordered pairs
(3, 1), (0, –4), (–4, 0), (–3, –7)are solutions for the equation
x – y = 4?
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 solution (3,1):


Plug in and


Simplify. Since the two sides of the equation are not equal, this means (3,1) is not a solution to



-------Now lets test another solution-------



Let's test the second solution (0,-4):


Plug in and


Simplify. Since the two sides of the equation are equal, this means (0,-4) is a solution to



-------Now lets test another solution-------



Let's test the third solution (-4,0):


Plug in and


Simplify. Since the two sides of the equation are not equal, this means (-4,0) is not a solution to



-------Now lets test another solution-------



Let's test the fourth solution (-3,-7):


Plug in and


Simplify. Since the two sides of the equation are equal, this means (-3,-7) is a solution to


==============================================================================
Answer:
So the following ordered pairs are solutions to

(0,-4) and (-3,-7)

Now let's graph the equation and plot the points (3,1), (0,-4), (-4,0), and (-3,-7)

Here we can see that the points (0,-4) and (-3,-7) lie on the line (they are the green points). 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
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