Question 105280: Which of the ordered pairs
(7, 1), (10, 0), (1, –3), (–8, 6)
are solutions for the equation x + 3y = 10?
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 (7,1):
 Plug in  and 
 Simplify. Since the two sides of the equation are equal, this means (7,1) is a solution to
-------Now lets test another solution-------
Let's test the second solution (10,0):
 Plug in  and 
Simplify. Since the two sides of the equation are equal, this means (10,0) is a solution to
-------Now lets test another solution-------
Let's test the third solution (1,-3):
 Plug in  and 
 Simplify. Since the two sides of the equation are not equal, this means (1,-3) is not a solution to
-------Now lets test another solution-------
Let's test the fourth solution (-8,6):
 Plug in  and 
Simplify. Since the two sides of the equation are equal, this means (-8,6) is a solution to
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Answer:
So the following ordered pairs are solutions to
(7,1), (10,0), and (-8,6)
Now let's graph the equation and plot the points (7,1), (10,0), (1,-3), and (-8,6)
Here we can see that the points (7,1), (10,0), and (-8,6) 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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