SOLUTION: Which of the ordered pairs (6,3) and (4,13) and (4,3) are solutions for the equation; 5x+y=33

Algebra ->  Graphs -> SOLUTION: Which of the ordered pairs (6,3) and (4,13) and (4,3) are solutions for the equation; 5x+y=33      Log On


   

Question 101287: Which of the ordered pairs (6,3) and (4,13) and (4,3) are solutions for the equation;
5x+y=33
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2By=33 Start with the given equation


Let's test the first solution (6,3):


5%286%29%2B%283%29=33 Plug in x=6 and y=3


33=33 Simplify. Since the two sides of the equation are equal, this means (6,3) is a solution to 5x%2By=33



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



Let's test the second solution (4,13):


5%284%29%2B%2813%29=33 Plug in x=4 and y=13


33=33 Simplify. Since the two sides of the equation are equal, this means (4,13) is a solution to 5x%2By=33



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



Let's test the third solution (4,3):


5%284%29%2B%283%29=33 Plug in x=4 and y=3


23=33 Simplify. Since the two sides of the equation are not equal, this means (4,3) is not a solution to 5x%2By=33


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Answer:
So the following ordered pairs are solutions to 5x%2By=33

(6,3) and (4,13)

Now let's graph the equation 5x%2By=33 and plot the points (6,3), (4,13), and (4,3)

Here we can see that the points (6,3) and (4,13) lie on the line (they are the green points). Notice the other solutions are points that do not lie on the line.